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Waves MCQs for NEET — Physics Questions with Answers

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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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A wave travelling along a string is described by the equation y= A Sin(ùt-kx). The maximum particle velocity is ………..

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Explanation

$ y (x, t) = 0.005 cos ( \alpha x - \beta t) $ compare it with standard equation $ y (x,t ) = A cos (kx -wt ) = A cos \left( { 2 \pi \over \lambda } = - { 2 \pi \over T }t \right) $ $ \therefore \alpha = { 2 \pi \over \lambda } and \beta = { 2 \pi \over T } $

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Two tuning forks P and Q when set vibrating gives 4 beats/second. If the prong of fork P is filed, the beats are reduced to 2/s. What is the frequency of P, if that of Q is 250 hz.?

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The length of a string tied across two rigid supports is 40 cm. The maximum wavelength of a stationary wave that can be produced in it is… cm.

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Explanation

For a string tied between two fixed supports, the longest (or maximum) wavelength of a stationary wave that can be produced is twice the length of the string. Given the length of the string is 40 cm, the maximum wavelength is: $$ ext{Wavelength} = 2 imes 40 ext{ cm} = 80 ext{ cm}$$

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