Ex 40 : The equation of simple harmonic progressive wave is given by Y 4 sin find the displacement and 0.02 75 velocity of a particle at a distance 50 cm origin and at the instant 0.1 second. (All quantities in C. G.S. system).
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A: Given:The length of the string is LThe stiffness of spring is k. To determine the natural frequency,…
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Q: c) d) either 253 or 259 Hz none of these 11 Changing which one of the following would definitely not…
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A: The problem is based upon wave equation. For a periodic wave we know that, amplitude is the maximum…
Q: The equation of a simple harmonic progressive wave is Y = 0.04 sin (340t – x) 17 %3D where all the…
A: To determine- Period, Wavelength and speed of the wave. Given- Y=0.04 sin π17340t-xNow,The standard…
Q: A nylon rope of length 18m is under a tension of 1.8 × 104 N. The total mass of this rope is 2.7 kg.…
A: Given, Length of the rope = 18 m Tension in the rope = 1.8 * 104 N Total mass of the rope = 2.7 kg…
Q: The equation of a simple harmonic progressive wave is given by y = A sin (100 nt – 3x). What is the…
A: To find- Distance between two points for given condition Given- Equation of simple harmonic…
Q: A nylon rope of length 12m is under a tension of 1.5 * 10 ^ 4 * N N. The total mass of this rope…
A: Given Data : Length of rope (L) = 12 m Tension in rope (T) = 1.5 * 104 N Total mass of rope (M) =…
Q: Wave in a Rope Traveling waves are generated at each end of a tightly stretched rope 24 ft long,…
A: We have two waves given by equations y1=0.2sin(48x-0.8t) and y2=0.2sin(48x+0.8t) which are generated…
Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…
A: A mathematical model is defined as the formalized description of the system which is derived from a…
Q: A wave is described by the given wave function, y(x,t) 0.75m sin Calculate the following: 1) The…
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Q: A wave described by y(x, t) = 0.1 sin(3x - 10t), where x is in meters, y is in centimeters, t is in…
A: Given: y(x,t)= 0.1sin(3x-10t) ω=10 k=3 (a) wave speed= ω/k = 10/3= 3.3333 m/sec
Q: string of length 0.3 m is fixed at both ends. The string is plucked and a standing wave is set up…
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Q: A nylon rope of length 12m is under a tension of 1.6 * 10 ^ 4 * N The total mass of this rope is 2.2…
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Q: 1- if the displacement in meter for an oscillator point ar given by : y=0.03 sin (0.4 πt ) find :…
A: solution as
Q: A nylon rope of length 22m is under a tension of 1.6 × 104 N. The total mass of this rope is 1.9 kg.…
A: Length l=22 mTension T=1.6x104 NMass of rod m=1.9 kgLinear density μ=ml
Q: A particular sound wave can be modeled by the equation y=-3x sin 4x. Determine the amplitude and…
A: The equation of the sound wave is given by:y=−3xsin(4x)In this equation, sin(4x) represents a…
Q: A nylon rope of length 22m is under a tension of 1.8 × 104 N. The total mass of this rope is 2 kg.…
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Q: A certain instant camera determines the dis- tance to the subject by sending out a sound wave and…
A: distance = velocity * time Given :- d = 2.07 m v= 343 m/s
Q: Ex 45: A simple harmonic progressive wave of amplitude 10 cm and frequency 1000 Hz is travelling…
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Q: the period of oscillation of a given wave is 3.4 seconds and the wave is travelling at 12 m/s, what…
A: Speed v = 12 m/s Time t = 3.4 sec
Q: Given the sine wave in Figure 1(a) and (b), determine which of the two has higher frequency.…
A: Given : ω1=100 rad/s ω2=500 rad/s The frequency is defined as the number of…
Q: A string of linear mass density 4.9 x 10 kg/m is stretched by a 441N tension force, and fixed at…
A: Given data The linear mass density is μ=4.9×10-3 kg/m The tension force is, T=441 N The frequency is…
Q: the equation of a certain wave is 10sen[2pi(2x-100t)] where x is measured in meters and t in…
A: we have y=10sin2π2x-100t=10sin4πx-200πt
Q: If a wave pulse with an amplitude of 2 cm overlaps with a wave pulse that has an amplitude of -4 cm,…
A: Given data: Amplitude of first wave pulse is, A1=2 cm. Amplitude of second wave pulse is, A2=-4 cm.
Q: A transverse wave of frequency 60 Hz prop- agates down a string. Two points 10 cm apart 7 T are out…
A: (a) What is the wavelength of the wave. (b) At a given point, what is the phase difference between…
Q: fly’s wings had flapped in one second. If the fly’s wings flap, say, 250 times in one second. Find…
A: a) Frequency of motion = No. of complete oscillation per second = 250 Hz
Q: If the amplitude of a sine wave is 20Vpk, determine the instantaneous amplitude of the sine wave…
A: A sine wave signal is represented as xt=Asinωt In this expression A is the peak amplitude of the…
Q: A common wave equation of a wave is y= 5 cos π(4t-6x+1/2) find T, f, lamda, begining phase, and…
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Q: e transverse displacement of a stretched string from equilibrium as a function of time and position…
A: The transverse displacement of a stretched string is y=0.13 cos9x+27t The amplitude of the wave is…
Q: Waves moving on a lake have a speed of 1.6 m/s and a distance of 1.3 m between adjacent crests. (a)…
A: Given : Speed, v = 1.6 m/s Distance between adjacent crest is wavelength. So, wavelength = 1.3 m (1)…
Q: 6. GO A person fishing from a pier observes that four wave crests pass by in 7.0 s and estimates the…
A: The frequency of wave can be, f=nt=37
Q: A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the…
A: The frequency of wave is: f=ntPut n=43, t=28sf=4328f=1.54s-1The speed of the wave is:v=dt'Here, d is…
Q: A wave covers a distance of 1.8 km in 15 seconds and in 60 vibrations. Calculate (a) Time Period,(…
A: Given values, Distance covered by wave(x)=1.8kmTime(t)=15sVibrations=60
Q: Establish the equation of harmonic wave travelling along the positive direcction of X-axis.
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Q: What is the velocity of a wave along a cord having a linear mass of 4g/cm if the cord is stretch to…
A: Given data: Linear mass density (μ) = 4 g/cm Tension (T) = 9×104 dyn Required: The velocity of the…
Q: A water wave has a frequency of 9.0 Hz and a wavelenght of 5.0m. (a) What is the period (in…
A: The relation between the frequency and the wavelength is given by where, T is the period and f is…
Q: Show that the equation of motion of identical atoms of mass M in a chain, M dt2 d²Un = K (Un+1 +…
A: Condensed matter physics is a field of physics that deals with the properties of matter like…
Q: A 12-m rope is pulled tight with a tension of 49 N. When one end is given a quick “flick,” a wave is…
A: The frequency of the wave is, f=1T=10.54 s=1.85 Hz The frequency of the string is,…
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