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Physics MCQs for NEET — Practice Questions with Answers

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Two forks A and B when sounded together produce 4 beats/s. The fork A is in unison with 30 cm length of a sonometer wire and B is in unison with 25 cm length of the same wire at the same tension. The frequencies of the fork are

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Explanation

$ { f_2 \over f_1 } = { l_2 \over l_1 } = { 25 \over 30 } = { 5 \over 6 } $ $ f_2 - f_1 = 4 on solving we get f_2 = 24 Hz $ $ \therefore f_1 = 20 Hz $

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A tuning fork of frequency 200 hz is in unison with a sonometer wire. The number of beats heard per second when the tension is increased by 1 % is

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Explanation

$ { f_2 \over f_1 } = \sqrt { 101 \over 100 } = \left( 1 + { 1 \over 100 } \right) ^ {1 /2 } = 1 + {1 /200} $ $ \therefore f_2 = f_1 + { f_1 \over 200} $ $ \therefore numbers of be ab s^{-1} = f_2 -f_1 = {f_1 \over 200} = 1 $

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A bus is moving with a velocity of 5 m/s towards a huge wall. The driver sounds a horn of frequency 165 hz. If the speed of sound in air is 335 m/s, the number of beats heard per second by the passengers in the bus will be …….

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Explanation

$ { f_L \over f_S} = { \nu + \nu_L \over \nu + \nu_S } $ $ here \nu_L = + 5 ms^{-1} , \nu_s = -5 ms^{-1} , f_s = 165 Hz $ $ \therefore f_L =170 Hz \therefore Number of be ab s^{-1} = 170 -165 = 5 $

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A vehicle with a horn of frequency n is moving with a velocity of 30 m/s in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to havea frequency $( n + n_1 )$. If the sound velocity in air is 300 m/s, then

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Explanation

As the source is moving perpendicular to straight line joining the observer and source, (as if moving along a circle), apparent frequency is not affected $n_1 = 0$

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A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 hz. The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to …….

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Explanation

At a displacement antinode, a pressure node is present. Since pressure does not change at its node, nor does density.

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In brass, the velocity of a longitudinal wave is 100 times the velocity of a transverse wave. If $ Y = 1 \times 10^{11} N/m^2$, then stress in the wire is …………

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Explanation

For a sonometer fundamental $ f = {1 \over 22} \sqrt { T \over \mu } $ To maintain the fundamental mode, in doubling the length, tension must be quadrupled

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A car blowing its horn at 480 hz moves towards a high wall at a speed of 20 m/s. If the speed of sound is 340 m/s, the frequency of the reflected sound heard by the driver sitting in the car will be closest to hz.

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Explanation

If the length of the wire between the two bridges is l , then the frequency of vibration is $ n = { 1 \over 21 } \sqrt { T \over m } = { 1 \over 21 } \sqrt { T \over \pi r^2 d $ If the length and diameter of the wire are doubled keeping the tension same, then new fundamental frequency will be n/4

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A cylindrical tube open at both ends has a fundamental frequency f in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now………

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Explanation

$ {f_L \over f_S } = { \nu + \nu_L \over \nu + \nu_S } $ using this equation the frequency of reflected sound heard by the girl, $ f_L = { \nu + \nu_L \over \nu -\nu_S} f_S $

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Three sound waves of equal amplitudes have frequencies (v-1 ), v, ( v+1). They superpose to give beats. The number of beats produced per second will be …….

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Explanation

$ f_{open} = { \nu \over 2l_ {open} } $ $ f_{closed } = { \nu \over 4 l_{closed} = { \nu \over 4l_{open} /2 } $ $ [ As l_{closed} = { l_{open} \over 2 } ]$ $ = {\nu \over 2 l_{open} = f_{open} $ i.e. frequency remains unchanged.

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A wave travelling along the x-axis is described by the equation y(x,t) = 0.005Cos(áx - ât). If the wavelength and the time period of the wave are 0.08 m and 2.0 s respectively, then á and â in appropriate units are ………

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Explanation

If we assume that all the three waves are in same phase at t = 0, we shall hear only 1 beat $s^{-1}$

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