Physics for Scientists and Engineers6th EditionTipler Publisher: MAC HIGHERISBN: 9781429281843
Physics for Scientists and Engineers
Solutions for Physics for Scientists and Engineers
Browse All Chapters of This Textbook
Chapter 1 - Measurment And VectorsChapter 2 - Motion In One DimensionChapter 3 - Motion In Two And Three DimensionsChapter 4 - Newton's LawChapter 5 - Additional Applications Of Newton's LawChapter 6 - Work And Kinetic EnergyChapter 7 - Conservation Of EnergyChapter 8 - Conservation Of Linear MomentumChapter 9 - RotationChapter 10 - Angular Momentum
Chapter 11 - GravityChapter 12 - Static Equilibrium And ElasticityChapter 13 - FluidsChapter 14 - OscillationsChapter 15 - Traveling WavesChapter 16 - Superposition And Standing WavesChapter 17 - Temparature And Kinetic Theory Of GasesChapter 18 - Heat And First Law Of ThermodynamicsChapter 19 - The Second Law Of ThermodynamicsChapter 20 - Thermal Properties And ProcessesChapter 21 - The Electric Field I: Discrete Charge DistributionsChapter 22 - The Electric Field Ii: Continous Charge DistributionsChapter 23 - Electric PotentialChapter 24 - CapacitanceChapter 25 - Electric Current And Direct-current CircuitsChapter 26 - The Magnetic FieldChapter 27 - Sources Of The Magnetic FieldChapter 28 - Magnetic InductionChapter 29 - Alternating-current CircuitsChapter 30 - Maxwell's Equations And Electromagnetic WavesChapter 31 - Properties Of LightChapter 32 - Optical ImagesChapter 33 - Interferance And DiffractionChapter 34 - Wave-partical Duality And Quantum PhysicsChapter 35 - Applications Of The Schrodinger EquationChapter 36 - AtomsChapter 37 - MoleculesChapter 38 - SolidsChapter 39 - RelativityChapter 40 - Nuclear PhysicsChapter 41 - Elementary Particles And The Beginning Of The Universe
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Sample Solutions for this Textbook
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Introduction: A physical quantity is any quantity that can be measured. The magnitude of a physical...Given: The given value is 10−12 boo . Formula Used: 10−12 units is equal to 1 pico unit....Given: The value of acceleration is 1.296×105 km/h2 . Formula used: Change in velocity within unit...Introduction: Dimension of any physical quantity in physics tells about how any quantity is related...Given: The x and y components of a displacement vector are +8.5 m and −5.5 m . Formula used: Write...Given: Unit vectors i^ and j^ are directed in east and north direction respectively. Formula used:...Given: The arc length is equal to 1 AU . The angle of arc covered is 1 s . Formula used: Write the...Given: The force applied by person P is 50 lb in northeast direction. The force applied by person J...Formula Used: Write the expression for the average velocity of the ball during its complete journey....
Given: The variation of velocity of particle with time is plotted. Formula used: Write the...Given: The initial velocity of the rocket v0y=0 m/s The magnitude of its upward acceleration ay=20...Given: Velocity of passenger train is 29m/s . Separation between passenger and freight train when...Given: The free fall of the professor is for 8.0 s . Initial velocity of the professor is 0 m/s2 ....Given: The initial velocity on the box is 4 m/s . The final velocity on the box is 5 m/s . The time...Given: The acceleration of the rocket is given by a=bt . The initial condition is given as x0=0 and...Given: The acceleration of the particle is given by ax=(0.20 m/s3)t . The velocity of particle at...Given: The acceleration of the particle is ax=a0x+bt . The position of particle is x=x0 and vx=v0x...Introduction: The distance Δy travelled by the marble in the measured time interval Δt is given by...Given: The equation of position x as a function of time x=Asinωt The values of the constants A=5.0...Given: The acceleration of the particle is given by ax(x)=(2.0 s−2)x . The velocity is 0 m/s at...Given: The equation for the acceleration ay of the sky diver as a function of its speed vy ay=g−bvy2...Introduction: Distance can be defined as the total path length travelled by a body. Its S.I. unit is...Given data: The ball is thrown horizontally. Formula used: Second equation of motion: s=ut+12at2s...Given data Velocity at t = 0 s = 40 m.s-1 The angle of velocity at t = 0 s = θ=45∘ Velocity at t = 3...Given data x(0)=4.0 my(0)=3.0 mv→(0)=2i^−9j^a→(t)=4i^+3j^ Formula used v→(t)=∫a→(t)dt Calculation...Given: The initial velocity of the ball relative to the train v→0=4.90 m/sj^ Formula used: To...Given: Time taken by the Earth to rotate once on its axis, T=24 h Radius of the Earth, RE=6.378×106m...Given: The angle of ball above the horizontal is 55° . The initial speed of the ball is 22 m/s . The...Given: Initial velocity of the golf ball, vo=45.0 m/s Launching angle, θo=35.0° Net vertical...Given: The time is 20.0 s. The distance is 3000 m above the horizontal. The distance is 450 m in...Given: The distance between the woman and the wall is 4 m . The velocity of the ball is 14 m/s . The...Given data: Final height of ball just above the plate =0.7 m Range =18.4 m Initial speed of ball...Given: The position of the particle at t=0 is r→1=(4.0 m)i^+(3.0 m)j^. The position of the particle...Given: The speed of the airplane is 275 mi/hr . The angle is 37° above the horizontal. The distance...Introduction: Newton’s first law of motion defines that an object remains in the state of rest or...Given: The given diagram is shown in Figure 1. Figure 1 The acceleration when it acts on object on...Given: The mass of the object is m=4.0 kg . The value of the force F¯1=(2.0 N)i^+(−30 N)j^ . The...Given: The given diagram is shown in Figure 1 Figure 1 Formula used: For the given diagram, the...Given: An arch is grounded at the both ends and helium filled balloons are placed at equal interval...Given: The mass of the block is m=2.0 kg . Formula used: The expression for the weight of the block...Given: The mass of each link is m=0.10 kg . The upward acceleration of the chain is a=2.5 m/s2 ....Calculation: The free body diagram for the blocks is shown in Figure 1 Figure 1 Consider the tension...Introduction: Newton’s third law states that for every action, there is an equal and opposite...Formula used: The expression for the acceleration of the wood system is given by, a=(m1−m2)gm1+m2...Introduction: Static frictional force: The object remains at rest till the applied force on the...Given Information: n=1 Formula Used: The drag force equation is Fd=bvn Calculation: The drag force...Given Information: An automobile is going up a 15o grade at a speed of 30 m/s . The coefficient of...Given: Mass of box is 2.0 kg . Coefficient of friction between the box and the wall is 0.60 ....Given: Mass of the block is 10.0 kg . Mass of the bracket is 5.0 kg . Value of the static friction...Given data: Mass of the block, m=0.50 kg Mass of the wedge, m'=2.0 kg Coefficient of static...Given: The time measure is Δt . Total displacement of the block is Δx . Formula used: Draw free body...Given Information: Mass of the car, m=2000 kg Air drag on the car, FD=500 N Speed of the car, v=100...Given Information: Radius of the curve is 150 m Banking angle is 10o . Mass of car is 800 kg . Speed...Given Information: Mass of the car m=800 kg Angle of incline, θ=10o Radius of curvature, r=150 m...Given Information: Radius of the curve is 30 m . Mass of the car, m=950 kg car Speed of the car is...Given: The mass of cylinder is mc . Formula used: Write expression for total force on the system....Given: Mass of a particle = m = 0.80 kg Position of a particle is given by...Given: Length and mass of the raft are 6 m and 120 kg respectively. Your mass is 60 kg . Formula...Introduction: The work energy theorem states that the net or total work done on a particle is equal...Given: Mass of the object is 3.0 kg . Velocity of the object is 2.4m/s . Formula used: Write...Given: The mass of the car is 1220 Kg . The constant velocity of the car is 55 mi/h . Power of the...Given: Each of the proton has a kinetic energy 10 keV . Per second 1 × 109 protons are reaching the...Given: The force acting on the particle is (2.0 N/m2)x2 i^ . The particle moves along a straight...Given: The force acting on the particle is (F0r)(y i^ − x j^) and r is the distance of the particle...Given: The mass of the particle is 2.0 kg . The force acting on the particle is −(br3)(x i^ + y j^)...Given: The mass of the block is m . The vertical distance of the top of the block and the ceiling is...Given: Mass of two cylinders is not equal and pulley is frictionless. Formula used: Write the...Given: The value of constant force is 6.0 N . The initial potential energy is 0 J . Formula used:...Given: The potential energy function is U=3x2−x3 for x≤3.0 m . The potential energy function is U=0...Given: The mass of two blocks are m1 and m2 . The length of mass m1 from pivoted end is l1 and...Given: The mass of sled is 8.0 kg . The coefficient of friction between sled and road is 0.40 . The...Given: The mass of block is 2.0 kg . The initial height of block is 3.0 m . The final height of...Given: The mass of block is 2.4 kg . The initial speed of block is 3.8 m/s . The coefficient of...Introduction: To derive the expression for distance the box slides, the work-energy theorem will be...Given: The mass of rock piece is 2.0 kg . The initial speed of rock piece is 40 m/s . The maximum...Given: The mass of the roller- coaster carriage m=500 kg Speed at point A vA=12 m/s Height of A...Given: On a 2.87° hill, speed of car is 20 m/s ,on a 5.74° hill, speed of car is 30 m/s and total...Formula used: The kinetic energy of a particle in terms of its momentum is given by K=p22m Here, K...Given: The mass of block 1 is m1=3 kg . The velocity of the block 1 in positive x direction is v1=5...Given: The mass of block 1 is m1=3 kg . The velocity of the block 1 in positive x direction is v1=5...Formula used: The expression for the conservation of momentum given by, m1v1i+m2v2i=m1v1f+m2v2f The...Formula used: The expression for the final velocity of first object is given by,...Introduction: The meteorites are rock-like shapes that move in the space together with earth and the...Given: The mass of small object is m1=m . The mass of large object is m2=2m . The speed of small...Given: The mass of ball 1 is m1=2.0 kg . The mass of ball 2 is m2=3.0 kg . The speed of ball 1...Given: The mass of particle 1 is m1 . The mass of particle 2 is m2 . Formula Used: The expression...Given: The mass of first block is m3=3.0 -kg . The mass of second block is m1=1.0 -kg . The speed of...Given: The mass of first block is m3=3.0 -kg . The mass of second block is m1=5.0 -kg . The speed of...Given: The mass of the first astronaut is m1 The mass of second astronaut is m2 . The mass of the...Given: A disk rotating with increasing angular velocity about an axis passing through its center and...Given: Initial angular speed of the fly wheel, ωi=0 Final angular speed of the fly wheel ωf=4.5...Given info: The masses of the balls: m1=m3=3.0 kgm2=m4=4.0 kg The length of the edge of the cube...Given: Diameter of each sphere =dsphere=10 cm Radius of sphere =rsphere=5 cm Length of the rod =L=30...Given Information: Mass of block resting on the ledge, m1=4 kg Mass of the block hanging from the...Given data: Radius of the concentric drum, R=10 cm =(10 cm)( 1 m 100 cm)=0.100 m Mass of the hanging...Given: A uniform sphere is rolling without friction. Formula used: The total kinetic energy is sum...Given: The coefficient of static friction = μs Angle of inclination = θ Formula used: Torque is...Given: Mass of the ball is M . Radius of the ball is R . The coefficient of kinetic friction between...Given: Mass of a uniform solid ball = 20 g = 0.02 kg Radius of the ball = 5 cm = 0.05 m The height...Given: The horizontal force applied on a billiard ball at a distance h=2R3 , below the centerline...Given: Radius of the ball is R Initial speed of the ball is v0 The coefficient of kinetic friction...Given information: Height of each vertical beam =12.0 ft Width of each vertical beam =2.0 ft Length...Given: Vectors A→ and B→ are in opposite direction. Formula Used: Vector product is: P=A→×B→=AB sin...Given: Two nonzero vectors A→ and B→ . Formula used: The formula of vector product:...Given information : Mars and Earth have nearly identical lengths of days. Earth’s mass is 9.35 times...Given: A→=4 i^B→=6 i^+6 j^ Formula used: The property of vector cross product: i^ ×j^=k^, j^ ×k^=i^,...Given data: A→=4i→, B→=6i→+6j→ Formula Used: Consider vectors A→ and B→ are perpendicular the vector...Given: A→=axi^+ayj^+azk^B→=bxi^+byj^+bzk^C→=cxi^+cyj^+czk^ Formula used: The property of vector...Given: Mass of rod, M = 2 kg L1 =1.2m L2 = 0.80mθmax= 37o Formula used: Conservation of mechanical...Given data: Mass of the ball is m Formula Used: Angular momentum: L→=r→×p→ Where, p→ is the linear...Given information : The circumference of the pulley =1.2 m Mass of the pulley 2.2 kg Length of the...Introduction: Kepler described three laws of planetary motion: 1. A planet goes around sun in an...Introduction: The escape velocity on the surface of the asteroid is ve Asteroid=2GM asteroidR...Given data: M=1.05 MSun Here, MSun is the mass of the sun. Orbital period: T=1.50 yr FormulaUsed:...Given data: Universal gravitational constant, G=6.673×10−11N⋅m2/kg2 Radius of the sun, R=6.96×108m...Given data: G=6.67×10−11 N⋅m2/kg2MEarth=5.98×1024kgREarth=6.37×106 mh = 12.742×106 m Mass of the...Given data: Following figure shows the distribution of masses on the semi-circular arc of radius R...Given information : Mass of the rod =M Length of the rod =L Length of an element of the rod =dx Mass...Given data: Radius of M1 is R2=2a R1=a Center has shifted, x=0.8a Formula Used: Gravitational field:...Given data: The density of the sphere, ρ(r)=Cr Radius, =5.0 m Mass of the sphere, M=1.0×1011 kg...Given information : Mass of point particle =m0 Formula used : Gravitational potential energy...Given information : Mass of the Sun =Ms Mass of the Moon =Mm Distance of the particle from Earth to...If an object is to be in equilibrium, the net force as well as net torque about any point must be...Given data: Free body diagram for the given situation is as follows: Formula used: Apply the...Given: Length of the board, L=3.0 m Mass of the board, m=5 kg The angle between the board and the...Given data: The strut is weightless. Weight of the block, 60 N Formula used: Static translational...Given data: Weight of steel beam w=22 lb/ft =(22lbft)(1 kg2.205 lb)(3.281 ft m)=32.735 kg/m Length...Given data: Length of the rigid beam, L=2.5 m Spring constant, k =1250 N/m At equilibrium, beam...Given information : Mass of the ladder =20.0 kg Tension of the wire =29.4 N Breaking point tension...Given information : Length of the beam =20 cm Radius of the cylinder =4.0 cm Mass of the beam =5.0...Given:Gauge pressure is doubled. Formula Used: Gauge pressure: PGauge=PAbsolute−PAtmospheric...Given: Mass of a diver, m=85 kg Density of a diver, ρ=0.96 kg/L Formula used: Let, volume of the...Given: Radius of the balloon (r) is 2.5 m Total mass (mass of the balloon + mass of the helium +...Given: Length of conical section of pipe (L) through which the water flows is 1.0 m Radius of...Introduction: Bernoulli’s equation describes the quantitative relationship between the pressure and...Given: Height of the root beer is h Calculation: Let us apply the Bernoulli’s equation to the beer...Given: Temperature of water is 20°C Flow rate of water is 10.5 cm3/s Diameter of the tap is 1.20 cm...Given: The drag force on a moving sphere at a very low Reynolds number is Fd=6πηav where, η is the...Given: Density of air =ρa=1.3 kgm3 Density of helium =ρHe=0.18 kgm3 Mass of skin of balloon =mb=1.5...Given: Total mass of a submarine (including crew and equipment) is 2.4×106 kg The volume of a...Introduction: Simple harmonic oscillator is any system which when displaced from its equilibrium...Given: The time period of the particle is 8.0s . The amplitude of the oscillation of the particle is...Given: The force constant is 1800 N/m . The amplitude of the object is 2.50 cm . The frequency of...Given: The mass of the object is 2.0 kg . The length of the object is 5 cm . The amplitude of the...Introduction: In the simple pendulum, there is the bob that has mass and is hanged from the string...Given: The distance between center of sphere and point of support is L . The period of simple...Given: The length of rod is 2.00 m . The mass of rod is 0.800 kg . The mass of uniform disk is 1.20...Given: Mass of object is 2.00 kg . Linear damping constant is 2.00 kg/s . Value of force constant is...Introduction: Time period of oscillating system is the time required by system to complete one...Given: Period of oscillation is 0.80 s . Box started to slip when amplitude reaches 10 cm . Formula...Formula used: Write the expression for average power delivered in driving an oscillator....Introduction: Speed of the pulse depends on the medium properties. A pulse travelling on a rope or...Given: Differentials dv and dFT obey dvv=12dFT/FT . Formula used: The speed of the transverse wave...Given: Differentials dv and dFT obey dvv=12dFT/FT . Formula used: dv/dT is evaluated as,...Given: Equation: y(x,t)=k(x+vt)3 . y(x,t)=Aeik(x-vt) y(x,t)=ln[k(x-vt)] Calculation: To show the...Given: Wave function: y(x,t)=(1.00 mm)sin(62.8 m-1x+314 s-1t) . Formula used: The speed of the wave...Given: The speed of the wave is v1 when region x<0 . The speed of the wave is v2 when region x...Given: Pressure variation is given by, p(x,t)=0.75 cos[π2(x-343 t)] Formula used: The pressure...Given: Length of the string: ls= 3.00 m Mass of the string: ms= 25.0 g Length of the twine: lt= 4.00...Given: μ2=μ1 Formula used: Consider: Mass per unit length for the first string is given as: μ1=m1l1...Given: Frequency = 400 Hz . Amplitude = 0.50 mm . Linear mass density = 0.010 kg/m . Tension = 1.0...Given: Mass per unit length of the rope = 0.100 kg/m . Tension = 10.0 N . Frequency = 5.00 cycles...Introduction: The wave function at t=0 is given. The speeds of pulses are used to determine the...Given: Linear mass density of the string is 4.00×10−3kg/m . Tension in the string is 360 N . One of...Given: Length of string is 2.00 m . Maximum amplitude is 3.00 cm . Frequency of the string is 100 Hz...Introduction: A sound wave form originated by tuning fork of frequency centered on fo .A wave packet...Given: Length of string is 35 m . Linear mass density is 0.0085 kg/m . Tension in string is 18 N ....Given: The wave function of standing wave is given as y(x,t)=(0.020)sin(4πx)cos(60πt) . Formula...Given: The distance between nodes for first case is 6.94 cm . The distance between nodes for second...Given: The wave function of standing wave is given as y(x,t)=(0.020)sin(12πx)cos(40πt) ....Given: Length of the wire, l=2.00 m Tension in the wire, T=40.0 N Mass of the wire, m=0.100 kg At...Introduction: Zeroth law of thermodynamics was stated after the first law of thermodynamics that is...Given: The escape speed of the surface of the planet is 2gR . Formula used: Write the expression for...Given: The escape speed of the gas molecules in atmosphere of Mars is 5.0 km/s . Temperature is 0 °C...Given: The escape speed of gas molecules is 60 km/s. The temperature at the Jupiter surface is −150...Given: Temperature at the center of the gas is 1×107 K . Density at the center of sun is 1×105 kg/m3...Given: The temperature dependence of resistance of a thermistor is R=R0eB/T . The value of R is 7360...Given: Initial gauge pressure is 200 kPa . Initial temperature of tire is 20° C . Final temperature...Given: Load, F=110 N weight of the balloon’s envelope, w=50.0 N Volume of the balloon when it is...Given: Number of moles of gas, n=0.10 mol At STP, volume is V=2.24 L Mass of the piston, m=1.4 kg...Given: The mass of object A is twice the mass of object B. The specific heat capacity of mass A is...Given: The mass of aluminium calorimeter is mAl calorimeter=200 g The mass of water is mwater=600 g...Given: The initial pressure is 400 kPa . The final pressure is 160 kPa The initial temperature is...Given: The initial pressure is 400 kPa . The final pressure is 160 kPa The initial temperature is...Given data: The amount n of sample of N2 gas is 1 mol . The temperature T1 of the gas is 20° C . The...Given: The initial pressure is 2.00 atm . The initial volume is 2.00 L The final volume is 4.00 L...Given: The initial pressure is 2.00 atm . The temperature is 360 K Formula used: The expression for...Given: The initial pressure is 2.00 atm . The temperature is 360 K Formula used: The expression for...Calculation: Consider the given data, the pressure versus volume graph for the process is shown...Formula used: The expression for specific heat from Einstein model is given by, cV′=3R( T E...Given: The efficiency of the automobile gasoline engine is η=0.25 Formula used: The percentage of...Given: The number of molecules is 10 . The volume of the box is V=1.0 L . Formula used: The...Given: The initial pressure of the gas is P1=1.00 atm . The initial volume of the gas is V1=24.6 L ....Given: The number of mol of an ideal monatomic gas is n=1 mol . The initial volume of gas is V1=25.0...Given: The initial pressure of gas is P1=1 atm . The initial temperature is T1=0°C . The final...Given: The pressure at A is PA=5.00 atm . The temperature at A is TA=600 K . Formula used: The...Given: The pressure at A is PA=5.00 atm . The temperature at A is TA=600 K . Formula used: The...Introduction: The Brayton cycle consists of various thermodynamic process, an adiabatic compression,...Formula: The range of the isobaric expansion cycle is given by, T1→T4 The range of the adiabatic...Introduction: Coefficient of expansion is the ratio of the length/volume increase in body by rise in...Given: The thickness of the door = 2.0 inch The thermal conductivity of brass = 85 W/(m.K) Formula...Given:Atmospheric pressure 70.0 kPa . Formula used: Clausius-Clapeyron equation is...Given: A copper cube and aluminum cube each having3.00cm long edges. Formula used: Thermal...Given: Thermal conductivity of copper, KCu=401W/m⋅K Areaof cross-section of copper, Acu=9.0×10−4m²...Introduction: The difference between the two lengths are constant if the length LA and LB is...Introduction: Electrostatic force is the force that is applied on the charges which are at rest. The...Introduction: The electric field is the region near the charge where the other object or body will...Given: The magnitude of the three point charges is 3.00 nC . The length of the side of the square is...Given: The magnitude of the first point charge is −1.0 μC . The magnitude of the second point charge...Given: The magnitude of the two point charges is +4.0 μC . The position of the first point charge is...Given: The magnitude of the first point charge is −5.0 μC . The position of the first point charge...Introduction: Electric field, E→ at distance r from a charge q is given by the following equation:...Given: Four point charges placed at corners of a square whose edge length is L. Formula used: Write...Given: The radius of the microsphere is 5.50×107 m . The Magnitude of electric field is 6.00×104 N/m...Given: The charge is uniformly distributed along the length of the L-shaped object having equal...Given: Radius of a disk is 2.5 cm . Surface charge density of the disk is 3.6 μC/m2 . Distance of a...Given: Radius of non-conducting sphere is 6.00 cm and uniform volume charge density is 450 nC/m3 ....Given: A positive point charge of 2.5 μC is placed at the center of a conducting sphere. The radius...Given: Area of the two plates is 500 cm2 . Separation between the plates is 1.50 cm . The amount of...Given: The diameter of the sphere is 1.20 m . The volume charge density of the sphere is +5.00 μC/m3...Given: The charges are placed as shown in the figure. The first plane at y=−0.6 m . The second plane...Given: The charges are placed as shown in the figure. The first plane at x=2.0m . The line charge...Given: A sphere of radius R and surface charge density ρ . A cavity inside the sphere of radius...Introduction: The term electric potential energy is associated with the point charges in a system....Given: The charge on each particle is q=2.00 μC Formula used: The expression for the potential at...Formula used: The expression for the electric potential due to quadrupole is given as,...Given Data: The radius of a spherical shell is r' The thickness of spherical shell is dr' Formula...Introduction: The supplementary and inherent essential property of some subatomic particles such as...Given Data: The charge on first particle is q1=+4.20 μC The charge on second particle is q2=+4.20 μC...Given Data: The charge on each particle is q=2.00 μC . The side of a square is a=4 m . Formula used:...Given: The distribution of charge density is ρ(r)=−ρoe−2ra . The value of most probable distance of...Formula used: The expression for potential due to the ring is given by, V=kQ ( x±L )2+L2 The...Given: The inner shell is uncharged. The middle shell has a positive charge '+Q' The outer shell has...The capacitance of a parallel-plate capacitor depends on plate’s surface area, distance between...Given: Two capacitors 4 μF and 15 μF are connected in series and this series combination is in...Given information: Two capacitors C1 and C2 Formula used: The charge stored in a capacitor: Q=CV...Given: Two capacitors 1.00 μF and 0.250 μF are connected in parallel and this parallel combination...Given information : Radius of the wire = R1 Length of the wire = L Charge = +Q Inner radius of...Given information : Radius of inner radius = R1 Charge of inner radius = +Q Radius of outer radius =...Given: Capacitor 1, C1=4 μF = 4 ×10−6 F Capacitor 2, C2=12 μF = 12 ×10−6 F Potential difference,...Given information : Charge of an electrically isolated capacitor =Q Distance between plated =d...Given information : The radius of spherical capacitor =a Charge =+Q Inner radius of conducting...Given information : Radii of coaxial conducting thin cylindrical shells = a & b Charge of the...Introduction: Net electric field within the material of a conductor is zero only under electrostatic...Given: Average force due to air drag and rolling friction =F=1.20 kN = 1.20 (1000) N = 1200 N Speed...Formula used: The expression for equivalent resistance in upper wire is given by,...Calculation: The diagram of the electric circuit is shown below, Figure (1) Conclusion: Therefore,...Given: The voltage of the battery is ε=8 V . The circuit is shown in figure. Figure (1) Formula...Given: The resistance R is 1.00 kΩ . The resistance RV of the voltmeter is 10 MΩ . The given diagram...Given: The value of emf is ε=6.00 V . The value of capacitance is C=1.50 μF . The resistance is...Given: The value of charge on capacitor is q=1.00 mC . The value of capacitance is C=5.00 μF . The...Given: The value of emf is ε=50.0 V . The value of capacitances are C1=10.0 μF and C2=5.0 μF ....Given: The value of emf is ε=50.0 V . The value of capacitances are C=5.00 μF . Formula used: Apply...Given: The given values in the circuit are, ε=800 VVc=4.20 VR2=1.00 mΩR1=0.500 MΩ And, C=20.0 nF...Given: The resistance R1 is 2 MΩ . The resistance R2 is 5.00 MΩ . The capacitance C is 1.00 μF . The...Formula Used: The expression for the charge on the capacitor is given by, Q=CV0 The expression for...Introduction: Magnetic force on a moving charged particle moving through a magnetic field region is...Given: Charge on the point particle =q=−3.64 nC =−3.64×10−9C Velocity of the particle =v→=(2750ms)i^...Given: Magnitude of charge on proton =q=1.6×10−19C Velocity of the proton...Given: Charge on the electron =q=−1.6×10−19C Velocity of the particle =v→=(2×106ms)i^−(3×106ms)j^...Given: Equilibrium angular displacement of the wire from vertical =θ Magnitude of current in the...Given: Equilibrium angular displacement of the wire from vertical =θ Magnitude of current in the...Given: Magnitude of charge on an ion, q=1.602×10−19C Magnitude of magnetic field, B=0.120 T...Given: The given diagram is shown in Figure 1 Figure 1 Calculation: The angel that the coil makes...Given: Number density of electrons =n=8.47×1022 cm−3=8.47×1022×106m−3=8.47×1028m−3 Current in the...Introduction: An electric dipole is a measure of separating the opposite charges and the magnetic...Given: The charge is q=12 μC . The velocity is v→=30 m/s i^ . Formula used: The expression for...Given: The charge is q=12 μC . The velocity is v→=30 m/s i^ . Formula used: The expression for...Given: The velocity is v→=1.0×102 m/s i^+2.0×102 m/s j^ . Formula used: The expression for magnetic...Given: The radius of loop is R=3.0 cm The current is I=2.6 A . Formula used: The expression for...Formula used: The expression for total magnetic fieldis given by, Bz=μ0nR2I2(z1−1+z2−1) Calculation:...Formula used: The expression for magnetic field is given by, B=−μ0I2πR1k^+μ0I2πR2k^ Calculation: The...Given: The current in the wire at y=−6 cm and y=+6 cm is in the −x direction and +x direction...Given: Thecurrent carried by each of the wires is I . The length of each wire is same that is L ....Given: The straight wire carries a current I1=20.0 A . The coil carries a current I2=5.00 A . The...Introduction The magnetic flux can be defined as the number of magnetic field lines that pass...Given: The turns of the coilis n=25 . The radius of the coil is r=5.0 cm . The axis of coil is...Given: The number of turn of coil is N=15.0 . The uniform magnetic fieldis B→=(4.00 kG)i^ . The...Given: The length of the rectangular loop, Lside of theloop=10 cm The widthof the rectangular loop,...Given: The resistance and self-inductance of the coil is 8.00 Ω and 4.00 mH respectively. The...Given: The inductance of a coil is L=4 mH The resistance of a resistor is R=150 Ω The voltage of...Given: The inductance of the inductor is L=2 H . The resistance of the resistor is R=100 Ω . The...Formula Used: The relation for the magnetic is given by, um=B22μ0 Calculation: The magnetic field...Given data: The uniform horizontal magnetic field is B→ . The angle θ is 0 . The value of τ is...Given:The Frequency of the ac generator is f = 60 Hz . Formula used:The time elapsed between two...Given: Operated power of plant is P=2.3 MW Voltage supply to the plant is ε=40 kV Frequency supply...Given: Potential difference across terminals of one of the generators, V1=(5 V)cos(ωt−α) Potential...`Given: Inductance of inductor is L=36 mH Resistance of resistor is R=40 Ω Ideal voltage output is...Given: Load resistance is RL=20 Ω Inductance of inductor is L=3.20 mH Resistance of resistor is R=4...Given: Ideal AC voltage source is ε1=(20 V)cos(2πft) An ideal battery (whose EMF is ε2 ) is ε2=16 V...Given: The given diagram is shown below The above circuit is a trap filter circuit. Its phasors...Given: Rms voltage of the generator, ε=115V Frequency of the generator, f=60Hz Inductance, L=137mH...Given: RMS voltage, Vrms=120V Frequency, f=60Hz RMS current, Irms=11A Phase difference between the...Introduction: Conduction current developed in conductors due to movement of electrons in it, while...Formula used: The expression for magnetic field is given by, B=μ0Ia4πR(sinθ1+sinθ2) The expression...Given: The radius of the circular plateis b . The separation distance between the plates is d...Given: The intensity I of the sunlight is 1.37 kW/m2 . Formula Used: The expression for force acting...Given: The frequency is f=100 MHz . The magnetic is B→(z,t)=(1.00×10−8 T)cos(kz−ωt)i^ Formula used:...Given: The electric field of first wave is E→1=E10cos(k1x−ω1t)j^ . The electric field of second wave...Given: The angle between the incoming ray and the reflected ray is 70° . Formula used: The angle of...Given: The wavelength of the helium-neon laser is λ=632.8 nm . Formula used: The expression for the...Formula used: The expression for b can be given as, b=2dtanθrcosθi . Here, b is the separation...Formula used: The expression for intensity is given by, IN+1=I0cos2(π2N) Calculation: The intensity...Given: The energy at ground state is, E0=0 . The first excited of atoms is E1=2.11 eV . The second...Formula used: The expression for distance D is given by, D=d1+d2 The expression for distance d1 is...Formula used: The expression for IT is given by, IT=Iglass−IR,2 The expression for Iglass is given...Formula used: The expression for ϕd is given by, ϕd=π+2θ1−4sin−1(n airsinθ1n water) Calculation: The...Introduction: An optical image is said to be virtual, if it is achieved at the point where the rays...Given: The object distances are, 55 cm , 24 cm , 12 cm , 8.0 cm and 1.0 cm . The radius of curvature...Given: The height of the object is 3.00 cm . The distance of the object in front of a thin lens is...Given: The focal length of two converging lenses is 10 cm each. The separation between the two...Given: The focal length of a converging lens is 10 cm and focal length of a diverging lenses is (−15...Introduction: The ray diagram is related to show the focal length f , the separation between the two...Given: The distance of an object is 17.5 cm to the left of a lens. The focal length of the lens is...Given: The power of both lenses is 20 D . Distance between lenses is 30 cm . Formula used: Write...Given: Magnifying power of microscope is 600 . The angular magnification of eyepiece is 15.0 . The...Given: The focal length of the objective is 100cm and the object distance is 30m . Formula used: A...Given: A thin lens whose focal length in air is fa . Introduction: The focal length of a lens...Introduction: A path length difference introduces a phase difference that can be observed for a...Given: The refractive index of film is 1.50 . The missing wavelengths of spectrum are...Introduction: The given arrangement of Newton’s ring apparatus which consists of a plano-convex...Given: The wavelength of the light used is 633 nm . The distance between the slit and screen is 12 m...Given: The wavelength of the light used is 500 nm . The separation between the slits is 1 cm . The...Given: The wavelength of first violet line is 434nm . The wavelength of second violet line is 410nm...Given: The spacing of diffraction grating has 4800 lines per centimeter. The range of wavelength of...Given: The wavelength of light is 589 nm . The diffraction grating has 2.0 cm square ruled with 4000...Given: The path difference is calculated by considering two slits separated by a distance d ....Introduction: The electromagnetic radiations show the wave as well as particle nature of the light....Given: The length of one-dimensional box is 1.00 fm (about the diameter of an atomic nucleus) ....Given: The length of one-dimensional box is 0.200 nm (about the diameter of a H2 nucleus) . Formula...Given: The one-dimensional box regionis 0≤x≤L . The particle is in the ground state. The given...Given: The one-dimensional box region is 0≤x≤L . The particle is in the first excited state. The...Given: The one-dimensional box region is 0≤x≤L . The particle is in the nth state. The wave...Given: The one-dimensional box region is −L2≤x≤L2 . The one-dimensional box length is L . Centre at...Given: The one-dimensional box region is −L2≤x≤L2 . The one-dimensional box length is L . The...Introduction: The wave function contains all information about a system. The graph of wave function...Formula used: The expression for ground state of harmonic motion is given by, 〈x〉=∫−∞∞ψ0*(x)xψ0(x)dx...Given: The particle is constrained to move in the two dimensional region defined by, 0≤x≤L and 0≤y≤L...Formula used: The expression for U〈x〉 total classical energy given by, U〈x〉=12mω0x2 The expression...Introduction: The diagram which is used to represent the arrangement of the orbital in order of...Given: The principal quantum number is n=4 . Formula used: The expression to calculate the possible...Given: The orbital number is l=3 . Formula used: The expression to calculate the possible values of...Given: The radius of Bohr bolt is r=a0 . The value of Δr is 0.3a0 . Formula used: The expression for...Given: The radius of Bohr bolt is r=a0 . Formula used: The expression for the spherical wave...Given: The value of Δr is 0.02ao . The value of r is ao . The value of n is 2 . The value of l is 0...Given: The ground state hydrogen atom wave functionis ψ100=π−1/2(Z/ a o)3/2e−Zr/ao . Formula Used:...Given data: The given values of the wavelength λ are 164 nm , 230.06 nm and 541 nm . Formula: The...Introduction: Most of the non-polar molecules don't have a dipole moment in them, while if in case...Given: The equilibrium separation of the K+ and F− ions in KF is r=0.217 nm . Formula used: The...Formula used: The expression for reduced mass of a two body system is given by, μ=m1m2m1+m2...Given: The equilibrium separation is r=0.113 nm . Formula used: The expression for moment of inertia...Given: The effective force constant is 580 N/m . Formula used: The expression for wavelength is...Introduction: The drift velocity of the charged particles is induced due to the action of electric...Given: The density of gold is ρ=19.3×103 kg/m3 . The atomic mass is m=196.97 g/mol . Formula used:...Given: The monatomic ideal-gas relation is, PV=23NEav ..... (1) The Fermi energy from equation...Given: The temperature is T=273 K . The resistivity and Fermi speed of Na is ρ1=4.2 μΩ⋅cm and...Given: The resistivity is ρ=1.0×10−8 Ω⋅m . The Fermi energy from Table 38-1 is EF=7.03 eV . The...Given: The concentration of doped n-type silicon sample is n=1.0×1016 cm-3 The resistivity at 300 K...Given: The saturation current is I0= 1.0 nA . The value of kT=0.025 eV . Formula used: The...Given: The density of the electron states in a metal is g(E)=AE12 . Formula used: The number of...Introduction: The total relativistic energy of a particle is the sum of its kinetic energy and rest...Given: In laboratory frame of reference length of each bundle is 1.0 cm . Diameter of each bundle in...Introduction: Events 1 and 2 are separated by a distance D of (x2−x1) and a time T of (t2−t1) in...Given: Rocket has proper length 700 m is moving to right at speed 0.900c . Rocket has one clock in...Given: Spaceship that is at rest in frame S is given speed increase boost 1 of 0.50c . Spaceship is...Given: Particle of mass 1.00 MeV/c2 and kinetic energy 2.00 MeV collides with stationary particle of...Given: A particle moving with speed u along the y-axis in frame S . Formula Used: Relativistic...Introduction: Isotopes are the element having same atomic number with different atomic weight or...Given: The mass of one proton is 1.007825 u . The mass of one neutron is 1.008665 u . The mass of...Given: The reaction: H2+H2→H3+H1+Q Formula used: Write the reaction. H2+H2→H3+H1+Q Write the...Given: The mass of the nucleon is 1.0 u . The length of the square well is 3.0 fm . Formula used:...Given: The mass of one 4He nucleus is 4.002603 u . The mass of one 16O nucleus is 15.994915 u . The...Given: The length of the one-dimensional infinite square well is 2.00 fm . Formula used: Write the...Introduction: The elastic head-on collision is a type of collision in which the two bodies collide...Introduction: Often, the daughter nucleus of a radioactive parent nucleus is itself radioactive. The...Introduction: Hadrons are the particles that exerts strong nuclear force on each other. They are...Given: The actual wavelength of light is 656.3 nm . The distance of galaxy is 5.00×106 c⋅y . Formula...Given: The reaction is p+p→Λ0+Κ0+p+(?) . Introduction: The reaction process for given particle is...Introduction: Neutrinos travel at the speed nearly equal to the speed of light. Time required is the...Given: The given reaction is Σ0→Λ0+γ . Formula used: Write the expression for total energy of the...
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PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
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