In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10 27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.98 x 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fm

Q: An electron is in uniform circular orbit around a nucleus at a distance of 8.00 x 1011 meters at a…

A: Radius of orbit, R= 8.00 x 10-¹¹ m Speed (v)= 4.35 x 106 m/s Mass of electron (m)= 9.1× 10-³¹ kg Let…

Q: The respective charges of the electron and the proton are of opposite sign but of equal magnitude qe…

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Q: Three charges of −7 nC, −4 nC and 0.5 nC are situated at P(3, π/4, π/4), Q(0, 5, π, π/4) and S(−1,…

A: The force on the 4nC will be in the positive X direction and= k * q1 * q2 / r^2= (9.0 x 10^9 * 4…

Q: What is the escape speed for an electron initially at rest on the surface of a sphere with a radius…

A: To answer: The escape velocity for an electron initially

Q: A charged particle moves with a uniform velocity 4.3 ŷ (m/s) in a region where E = 192 (V/m) and B =…

A: Given: Charged particle moving velocity, v→=4.3y^ ms Electric field, E→=19z^ Vm Magnetic field…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: Given- E=αe-ra0+βr+b0

Q: The protons in a nucleus are approximately 2 x 10-15 m apart. Consider the case where the protons…

A: Given data:  The two protons  Distance (r) = d = 1.98×10-15 m Required: The magnitude of the…

Q: The electric flux density inside a cylinder is given as D = 7.32 ax + 7.11 ay +9.94 az, measured in…

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Q: Two protons (p) and two electrons (e) are arranged on a circle of radius r = 5 [cm], with angles 0₁…

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Q: Calculate the acceleration in meters per second squared of the electron if the field strength is…

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Q: d this velocity. (Ente

A: m1=1.95g=0.00195Kgq1=15.0μC=15×10−6Cv1i=16m/sm2=5.25g=0.00525Kgq2=8.50μC=8.50×10−6C

Q: Consider the following figure. (The four charges are at the corners of a square. Take q = 1.01 µC…

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Q: a) Add the missing particles (or charge of particle in the case of the required to satisfy our laws…

A: The principles of charge conservation, lepton number conservation, baryon number conservation, and…

Q: Problem 2: Two identical +9.5 µC = +9.5 x 10-6 C point charges are initially 3.5 cm = 0.035 m from…

A: Charge on each particle q = 9.5 μ C = 9.5 × 10-6 C initial distance = r =3.5 cm = 3.5 × 10-2 m mass…

Q: Two Plutonium atoms (atomic mass = 244) both gain 2 electrons each. Draw a FBD and calculate the net…

A: The free body diagram of the forces : The electric force is repulsive and the gravitational force is…

Q: A 59.7 gram piece of metal is placed in 60.0mL of water and heated from 22.0-28.5°C. What is the…

A: Question asks about the specific heat, but the options given are of heat.    Mass, m = 59.7…

Q: Consider the two charges in the figure, which are noving in opposite directions and located a…

A: Given that: d=16 cm=0.16 mxo=31 cm=0.31 mq1=19.5 μC=19.5×10-6 Cq2=-9.5 μC=-9.5×10-6 Cv1=13.5×106…

Q: The resulting electric field vector at a point P that is a = 30 cm from the end of two wires of the…

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Q: A small object with mass mm, charge qq, and initial speed v0v0v_0 = 4.00×103 m/s is projected into a…

A: Assume that object initially moves along x-direction at y=0 and the electric field is pointed along…

Q: There are approximately 2.97 trillion (2.97x10^12) electrons stored in a small, electrical component…

A: The charge is a scalar quantity therefore we can do scalar addition on them.

Q: Problem 1 Inside a vacuum tube, an electron is projected between two parallel plates. The plates are…

A:

Q: In a classical model of a hydrogen atom, there is a proton at the centre of the atom and an electron…

A: The speed of the electron in a hydrogen atom is v=Zkee2mer=18.99×109 N·m2/C21.6×10-19 C29.11×10-31…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: This problem is nothing but the evaluation of integrals.

Q: A charged particle of mass, m = 5.00 µg, and charge, q= 8.85 µC is accelerated away from rest at the…

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Q: Three charges, each of strength Q (Q > 0) form a fixed equilateral triangle with sides of length b.…

A: For minimum speed, When particle just reach at desired position then its speed at that point becomes…

Q: Particle 1 has an electric charge q1=1C and a mass m1=9kg; Particle 2 has a charge q2=8C and a mass…

A: Mass of particle 1 is Charge on particle 1 is Mass of particle 2 is Charge on particle 2 is Initial…

Q: 4. The gravitational force between two masses m₁ and m₂ located a distance r apart has a magnitude…

A: Solution:- 1) The gravitational force acring between two masses m1 and m2 , separated by a distance…

Q: There are three moving charges next to the observation point P. The first charge has a charge of…

A: Given : Three charges with some values and there velocities, and we want to calculate the value of…

Q: A uranium ion and an iron ion are separated by a distance of uranium ion iron ion R = 57.10 nm, as…

A: Charge on uranium ion (q1) = +1eCharge on iron ion (q2) = +2eCharge on electron (q3) = - eR = 57.10…

Q: proton

A: Concept used:-  Tha magnitude of electric field due to a charge Q at a distance R from the charge is…

Q: A proton with speed v =3×105×105m/s orbits just outside a charged sphere of radius r =1 cm. The…

A: Charge on Sphere is q = 1.044 × 10-9 Columb

Q: Consider the following figure. (The four charges are at the corners of a square. Take q = 1.11 µC…

A: Given values: Charge, q=1.11 μCCharge, Q=2.07 μCDistance, d=0.1 m

Q: Problem 223. Two small metal balls of mass m 0.1 g are suspended at the same point by insulating…

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Q: harge of 1.70 × 10-15 C? That is, what initial speed must the electron have in order to reach an…

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Q: A sphere of uniform charge density rho=10^−6 C/m 3  has a small hole drilled along its diameter,…

A: ρ = 10^-6 C/m^3 ( charge density)r = 2 m (the radius of the sphere).We need find the frequency…

Q: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

A: The Capacitance C related to the charge and potential difference. given, Fill in the blanks:…

Q: AU SOI the velocity components of an electron moving between two charged parallel plates are vr and…

A:

Q: A 1.13X10^-19 -C negative charge is travelling with a speed of 3.5X10^7 m/s through a uniform field…

A: Given data:  Charge (q) = 1.13×10-19 C Speed (v) = 3.5×107 m/s Magnetic field (B) = 0.076 T Mass (m)…

Q: A typical AA size rechargeable NiMH battery can store 1100-2100 mAh of electric charge. The small…

A: Note:“Since you have posted multiple questions, we will provide the solution only to the first…

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.