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A rocket is moving at a speed of 200 m `s^(–1)` towards a stationary target. While moving, it emits a wave of frequency 1000 Hz. Some of the sound reaching the target gets reflected back to the rocket as an echo. Calculate (1) the frequency of the sound as detected by the target and (2) the frequency of the echo as detected by the
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Mar 19, 2022
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11th Physics
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varun
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6.7k
points)
marks2
chapter15
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A string of mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other
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Mar 19, 2022
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11th Physics
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varun
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6.7k
points)
marks2
chapter15
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A stone dropped from the top of a tower of height 300 m splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m `s^(–1)` ? (g = 9.8 m
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Mar 19, 2022
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11th Physics
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varun
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6.7k
points)
marks2
chapter15
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A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20 °C = 343 m
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Mar 19, 2022
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11th Physics
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varun
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6.7k
points)
marks2
chapter15
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Use the formula `v=sqrt((γP)/ρ)` to explain why the speed of sound in air (a) is independent of pressure, (b) increases with temperature, (c) increases with
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Mar 19, 2022
in
11th Physics
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varun
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6.7k
points)
marks2
chapter15
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You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t) where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave : (a) `(x – vt )^2` (b) `log [(x + vt)/x_0]` (c) 1/(x +
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
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marks2
chapter15
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A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound, (b) the transmitted sound? Speed of sound in air is 340 m `s^(–1)` and in water 1486 m
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Mar 19, 2022
in
11th Physics
by
varun
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6.7k
points)
marks2
chapter15
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A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is 1.7 km `s^(–1)` ? The operating frequency of the scanner is 4.2
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Mar 19, 2022
in
11th Physics
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varun
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6.7k
points)
marks2
chapter15
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A transverse harmonic wave on a string is described by. y(x, t) = 3.0 sin (36 t + 0.018 x + π/4) where x and y are in cm and t in s. The positive direction of x is from left to right. (a) Is this a travelling wave or a stationary wave ? If it is travelling, what are the speed and direction of its propagation ? (b) What are its amplitude and frequency ? (c) What is the initial phase at the origin ? (d) What is the least distance between two successive crests in the wave
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Mar 19, 2022
in
11th Physics
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varun
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6.7k
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marks2
chapter15
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For the wave described in Exercise 15.8, plot the displacement (y) versus (t) graphs for x = 0, 2 and 4 cm. What are the shapes of these graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another: amplitude, frequency or phase
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Mar 19, 2022
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11th Physics
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varun
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6.7k
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marks2
chapter15
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For the travelling harmonic wave y(x, t) = 2.0 cos 2π (10t – 0.0080 x + 0.35) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of (a) 4 m, (b) 0.5 m, (c) λ/2, (d)
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Mar 19, 2022
in
11th Physics
by
varun
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6.7k
points)
marks2
chapter15
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The transverse displacement of a string (clamped at its both ends) is given by `y(x, t) = 0.06 sin((2π)/3x) cos (120 πt)` where x and y are in m and t in s.The length of the string is 1.5 m and its mass is `3.0 ×10^(–2)` kg. Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave ? (c) Determine the tension in the
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Mar 19, 2022
in
11th Physics
by
varun
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6.7k
points)
marks2
chapter15
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(i) For the wave on a string described in Exercise 15.11, do all the points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude? Explain your answers. (ii) What is the amplitude of a point 0.375 m away from one
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Mar 19, 2022
in
11th Physics
by
varun
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6.7k
points)
marks2
chapter15
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Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: (a) y = 2 cos (3x) sin (10t) (b) `y = 2sqrt(x-vt)` (c) y = 3 sin (5x – 0.5t) + 4 cos (5x – 0.5t) (d) y = cos x sin t + cos 2x sin
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is `3.5 × 10^(–2)` kg and its linear mass density is `4.0 × 10^(–2)` kg `m^(–1)`. What is (a) the speed of a transverse wave on the string, and (b) the tension in the
asked
Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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A metre-long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency 340 Hz) when the tube length is 25.5 cm or 79.3 cm. Estimate the speed of sound in air at the temperature of the experiment. The edge effects may be
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source ? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 m
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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Two sitar strings A and B playing the note ‘Ga’ are slightly out of tune and produce beats of frequency 6 Hz. The tension in the string A is slightly reduced and the beat frequency is found to reduce to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency of
asked
Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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Explain why (or how): (a) in a sound wave, a displacement node is a pressure antinode and vice versa, (b) bats can ascertain distances, directions, nature, and sizes of the obstacles without any “eyes”, (c) a violin note and sitar note may have the same frequency, yet we can distinguish between the two notes, (d) solids can support both longitudinal and transverse waves, but only longitudinal waves can propagate in gases, and (e) the shape of a pulse gets distorted during propagation in a dispersive
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Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
marks2
chapter15
#sub
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