Question 1: Palette 1/62

NEET 2026 MCQ

For a travelling harmonic wave

$y(x, t)=2.0 \cos 2 \pi(10 t-0.0080 x+0.35)$, where $x$ and $y$ are in cm and $t$ in $s$. The phase difference between oscillatory motion of two points separated by a distance of 0.5 m is:

A

$0.08 \pi \mathrm{rad}$

B

$\quad 0.8 \pi \mathrm{rad}$

C

$8 \pi \mathrm{rad}$

D

$0.008 \pi \mathrm{rad}$

Question 2: Palette 2/62

NEET 2026 MCQ

For sound waves, if the number of nodes for the $5^{\text {th }}$ harmonic of an open-ended pipe is $n$ and that for the $9^{\text {th }}$ harmonic of the same pipe with one of its ends closed is $m$, the ratio $\frac{n}{m}$ is

A

$\frac{3}{5}$

B

$\frac{5}{9}$

C

$\frac{9}{5}$

D

1

Question 3: Palette 3/62

NEET 2025 MCQ

 

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

A

$\frac{3 f}{2}$

B

$2 f$

C

$\frac{f}{2}$

D

$f$

Question 4: Palette 4/62

NEET 2024 MCQ

The displacement of a travelling wave $y=C \sin \frac{2 \pi}{\lambda}$ (at $-x$) where $t$ is time, $x$ is distance and $\lambda$ is the wavelength, all in S.I. units. Then the frequency of the wave is

A

$\frac{2 \pi \lambda}{a}$

B

$\frac{2 \pi a}{\lambda}$

C

$\frac{\lambda}{a}$

D

$\frac{a}{\lambda}$

Question 5: Palette 5/62

NEET 2023 MCQ

The $4^{\text {th }}$ overtone of a closed organ pipe is same as that of $3^{\text {rd }}$ overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is :

A

8 : 9

B

9 : 7

C

9 : 8

D

7 : 9

Question 6: Palette 6/62

NEET 2023 MCQ

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is

A

$2: 1$

B

$1: 3$

C

$3: 1$

D

$1: 2$

Question 7: Palette 7/62

NEET 2022 MCQ

An organ pipe filled with a gas at 27$^\circ$C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90$^\circ$C, the resonance frequency at the same mode will be

A

512 Hz

B

420 Hz

C

440 Hz

D

484 Hz

Question 8: Palette 8/62

NEET 2022 MCQ

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is

A

1 : 1

B

$\sqrt2$ : 1

C

1 : $\sqrt2$

D

1 : 2

Question 9: Palette 9/62

NEET 2020 MCQ

In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency of A is 530 Hz, the original freqnency of B will be :

A

524 Hz

B

536 Hz

C

537 Hz

D

523 Hz

Question 10: Palette 10/62

NEET 2018 MCQ

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

A

13.2 cm

B

8 cm

C

12.5 cm

D

16 cm

Question 11: Palette 11/62

NEET 2018 MCQ

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27°C is

A

330 m s^–1

B

339 m s^–1

C

350 m s^–1

D

300 m s^–1

Question 12: Palette 12/62

NEET 2017 MCQ

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system ?

A

20 Hz

B

30 Hz

C

40 Hz

D

10 Hz

Question 13: Palette 13/62

NEET 2017 MCQ

Two cars moving in opposite directions approach each other with speed of 22 m ^s$-$1 and 16.5 m s^$-$1 respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is (velocity of sound is 340 m s^$-$1)

A

361 Hz

B

411 Hz

C

448 Hz

D

350 Hz

Question 14: Palette 14/62

NEET 2016 MCQ

The second overtone of an open organ pipe has the same frquency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

A

L

B

2L

C

${L \over 2}$

D

4L

Question 15: Palette 15/62

NEET 2016 MCQ

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

A

1

B

4

C

3

D

2

Question 16: Palette 16/62

NEET 2016 MCQ

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15 m s^$-$1. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is

(Take velocity of sound in air = 330 m s^$-$1)

A

838 Hz

B

885 Hz

C

765 Hz

D

800 Hz

Question 17: Palette 17/62

NEET 2016 MCQ

An air column, closed at one end open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is

A

150 cm

B

200 cm

C

66.7 cm

D

100 cm

Question 18: Palette 18/62

NEET 2016 MCQ

A uniform rope of length L and mass m₁ hangs vertically from a rigid support. A block of mass m₂ is attached to the free end of the rope. A transverse pulse of wavelength $\lambda $₁ is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is $\lambda $₂. The ratio $\lambda $₂/$\lambda $₁ is

A

$\sqrt {{{{m_2}} \over {{m_1}}}} $

B

$\sqrt {{{{m_1} + {m_2}} \over {{m_1}}}} $

C

$\sqrt {{{{m_1}} \over {{m_2}}}} $

D

$\sqrt {{{{m_1} + {m_2}} \over {{m_2}}}} $

Question 19: Palette 19/62

NEET 2015 MCQ

The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is

A

120 cm

B

140 cm

C

80 cm

D

100 cm

Question 20: Palette 20/62

NEET 2015 MCQ

4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 J K^$-$1 mol^$-$1. If the speed of sound in this gas at NTP is 952 m s^$-$1, then the heat capacity at constant pressure is
(Take gas constant R $=$ 8.3 J K^$-$1 mol^$-$1)

A

7.0 J K^$-$1 mol^$-$1

B

8.5 J K^$-$1 mol^$-$1

C

8.0 J K^$-$1 mol^$-$1

D

7.5 J K^$-$1 mol^$-$1

Question 21: Palette 21/62

NEET 2015 MCQ

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is

A

10.5 Hz

B

105 Hz

C

155 Hz

D

205 Hz

Question 22: Palette 22/62

NEET 2015 MCQ

A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 m s^$-$1 at an angle of 60^o with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air 330 m s^$-$1), is

A

106 Hz

B

97 Hz

C

100 Hz

D

103 Hz

Question 23: Palette 23/62

NEET 2014 MCQ

If n₁, n₂ and n₃ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

A

${1 \over n} = {1 \over {{n_1}}} + {1 \over {{n_2}}} + {1 \over {{n_3}}}$

B

${1 \over {\sqrt n }} = {1 \over {\sqrt {{n_1}} }} + {1 \over {\sqrt {{n_2}} }} + {1 \over {\sqrt {{n_3}} }}$

C

$\sqrt n = \sqrt {{n_1}} + \sqrt {{n_2}} + \sqrt {{n_3}} $

D

n $=$ n₁ + n₂ + n₃

Question 24: Palette 24/62

NEET 2014 MCQ

The number of possible natural oscillations of air column in a pipe closed at one end length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = 340 m s^$-$1)

A

4

B

5

C

7

D

6

Question 25: Palette 25/62

NEET 2014 MCQ

A speeding motorcyclist sees traffic jam ahead him. He slows down to 36 km hour^$-$1. He finds that traffic has eased and a car moving ahead of him at 18 km hour^$-$1 is honking at a frequency of 1392 Hz. If the speed of sound is 343 m s^$-$1, the frequency of the honk as heard by him will be

A

1332 Hz

B

1372 Hz

C

1412 Hz

D

1454 Hz

Question 26: Palette 26/62

NEET 2013 MCQ

The length of the wire between two ends of a sonometer is 100 cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio 1 : 3 : 5.

A

${{1500} \over {23}}cm,{{500} \over {23}}cm$

B

${{1500} \over {23}}cm,$ ${{300} \over {23}}cm$

C

${{300} \over {23}}cm,{{1500} \over {23}}cm$

D

${{1500} \over {23}}cm,{{2000} \over {23}}cm$

Question 27: Palette 27/62

NEET 2013 MCQ

Two sources P and Q produce notes of frequency 660 Hz. each. A listener moves from P to Q with a speed of 1 ms^$-$1. If the speed of sound is 330 m/s, then the number of beats heard by the listener per second will be

A

4

B

8

C

2

D

zero

Question 28: Palette 28/62

NEET 2013 MCQ

If we study the vibration of a pipe open at both ends. then the following statement is not true.

A

All harmonics of the fundamental frequency will be generated.

B

Pressure change will be maximum at both ends.

C

Open end will be antinode.

D

Odd harmonics of the fundamental frequency will be generated.

Question 29: Palette 29/62

NEET 2013 MCQ

A wave travelling in the + ve x-direction having displacement along y-direction as 1 m, wavelength 2$\pi $ m and frequency of ${1 \over \pi }$ Hz is represented by

A

y = sin(10$\pi $x $-$ 20$\pi $t)

B

y = sin(2$\pi $x + 2$\pi $t)

C

y = sin(x $-$ 2t)

D

y $=$ sin(2$\pi $x $-$ 2$\pi $t)

Question 30: Palette 30/62

NEET 2013 MCQ

A source of unknown frequency gives 4 beats/s when sounded with a source of known frquency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is

A

240 Hz

B

260 Hz

C

254 Hz

D

246 Hz

Question 31: Palette 31/62

NEET 2012 MCQ

A train moving at a speed of 220 m s^$-$1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is
(Speed of sound in air is 330 m s^$-$1)

A

3500 Hz

B

4000 Hz

C

5000 Hz

D

3000 Hz

Question 32: Palette 32/62

NEET 2012 MCQ

The equation of a simple harmonic wave is given by

y = 3 sin${\pi \over 2}$(50t $-$ x),

where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

A

2$\pi $

B

${3 \over 2}\pi $

C

$3\pi $

D

${2 \over 3}\pi $

Question 33: Palette 33/62

NEET 2012 MCQ

When a string is divided into three segments of length $l$₁, $l$₂ and $l$₃ the fundamental frequencies of these three segments are ${\upsilon _1},{\upsilon _2}$ and ${\upsilon _3}$ respectively. The original fundamental frequency ($v$) of the string is

A

$\sqrt v = \sqrt {{v_1}} + \sqrt {{v_2}} + \sqrt {{v_3}} $

B

$v = {v_1} + {v_2} + {v_3}$

C

${1 \over v} = {1 \over {{v_1}}} + {1 \over {{v_2}}} + {1 \over {{v_3}}}$

D

${1 \over {\sqrt v }} = {1 \over {\sqrt {{v_1}} }} + {1 \over {\sqrt {{v_2}} }} + {1 \over {\sqrt {{v_3}} }}$

Question 34: Palette 34/62

NEET 2012 MCQ

Two sources of sound placed close to each other, are emitting progressive waves given by
y₁ = 4sin600$\pi $t and y₂ = 5sin608$\pi $t
An observer located near these two sources of sound will hear

A

4 beats per second with intensity ratio 25 : 16 between waxing and waning.

B

8 beats per second with intensity ratio 25 : 16 between waxing and waning.

C

8 beats per second with intensity ratio 81 : 1 between waxing and warning.

D

4 beats per second with intensity ratio 81 : 1 between waxing and waning.

Question 35: Palette 35/62

NEET 2011 MCQ

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

A

0.01

B

0.02

C

0.03

D

0.04

Question 36: Palette 36/62

NEET 2011 MCQ

Two waves are represented by the equations
y₁ = $a$sin($\omega $t + kx + 0.57) m and
y₂ = acos($\omega $t + kx) m, where x is in meter and t $in$ sec. The phase difference between them is

A

1.0 radian

B

1.25 radian

C

1.57 radian

D

0.57 radian

Question 37: Palette 37/62

NEET 2011 MCQ

Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

A

decrease by a factor 10

B

increase by a factor 20

C

increase by a factor 10

D

decrease by a factor 20

Question 38: Palette 38/62

NEET 2010 MCQ

A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A

510 Hz

B

514 Hz

C

516 Hz

D

508 Hz

Question 39: Palette 39/62

NEET 2010 MCQ

A transverse wave is represented by
y = Asin($\omega $t $-$ kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity ?

A

$\pi A/2$

B

$\pi A$

C

2$\pi A$

D

$A$

Question 40: Palette 40/62

NEET 2009 MCQ

Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is

A

7

B

8

C

3

D

5

Question 41: Palette 41/62

NEET 2009 MCQ

A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 m/s. and it is noted that 5 complete waves fit in 4m length of the string. The equation describing the wave is

A

y = (0.02) m sin (15.7 x $-$ 2010t)

B

y = (0.02) m sin (15.7 x + 2010t)

C

y = (0.02) m sin (7.85 x $-$ 1005t)

D

y = (0.02) m sin (7.85 x + 1005t)

Question 42: Palette 42/62

NEET 2009 MCQ

The driver of a car travelling with speed 30 m/s towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s, the frequency of reflected sound as heard by driver is

A

555.5 Hz

B

720 Hz

C

500 Hz

D

550 Hz

Question 43: Palette 43/62

NEET 2008 MCQ

Two periodic waves of intensities $I$₁ and $I$₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

A

${\left( {\sqrt {{I_1}} - \sqrt {{I_2}} } \right)^2}$

B

$2\left( {{I_1} + {I_2}} \right)$

C

${{I_1} + {I_2}}$

D

${\left( {\sqrt {{I_1}} + \sqrt {{I_2}} } \right)^2}$

Question 44: Palette 44/62

NEET 2008 MCQ

A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin($\omega $t + $\pi $/6). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

A

T/3

B

T/12

C

T/8

D

T/6

Question 45: Palette 45/62

NEET 2008 MCQ

The wave described by y = 0.25 sin(10$\pi $x $-$ 2$\pi $t), where x and y are in metres and t in seconds, is a wave travelling along the

A

+ve x direction with frequency 1 Hz and wavelength $\lambda $ = 0.2 m.

B

$-$ve x direction with amplitude 0.25 m and wavelength $\lambda $ = 0.2 m.

C

$-$ve x direction with frequency 1 Hz.

D

+ve x direction with frequency $\pi $ Hz and wavelength $\lambda $ = 0.2 m.

Question 46: Palette 46/62

NEET 2006 MCQ

Which one of the following statements is true ?

A

both light and sound waves can travel in vaccum

B

both light and sound waves in air are transverse

C

The second waves in air are longitudinal while the light waves are transverse

D

both light and sound waves in air are

Question 47: Palette 47/62

NEET 2006 MCQ

A transverse wave propagating along x-axis is represented by y(x, t) = 8.0 sin (0.5 $\pi $x $-$ 4$\pi $t $-$ $\pi $/4) where x is in metres and t is in seconds. The speed of the wave is

A

8 m/s

B

4$\pi $ m/s

C

0.5$\pi $ m/s

D

$\pi $/4 m/s.

Question 48: Palette 48/62

NEET 2006 MCQ

The time of reverberation of a room A is one second. What will be the time (in seconds of reverberation of a room, having all the dimensions double of those of room A ?

A

1

B

2

C

4

D

1/2

Question 49: Palette 49/62

NEET 2006 MCQ

Two sound waves with wavelengths 5.0 m and 5.5. m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second.

A

6

B

12

C

0

D

1

Question 50: Palette 50/62

NEET 2006 MCQ

Two vibrating tuning forks produce waves given by y₁ = 4 sin 500$\pi $t and y₂ = 2 sin506 $\pi $t. Number of beats produced per minute is

A

360

B

180

C

60

D

3

Question 51: Palette 51/62

NEET 2005 MCQ

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at P and Q is

A

3 : 2

B

2 : 3

C

9 : 4

D

4 : 9

Question 52: Palette 52/62

NEET 2004 MCQ

A car is moving towards a high cliff. The driver sounds a horn of frequency $f$. The reflected sound heard by the driver has frequency $2f$. If v is the velocity of sound, then the velocity of the car, in the same velocity units, will be

A

v/$\sqrt 2 $

B

v/3

C

v/4

D

v/2

Question 53: Palette 53/62

NEET 2004 MCQ

The phase difference between two waves. represented by
y₁ = 10^$-$6 sin[100t + (x/50) + 0.5] m
y₂ = 10^$-$6 cos[100t + (x/50)] m,
where x is expressed in metres and t is exressed in secondss, is approximately.

A

1.07 radians

B

2.07 radians

C

0.5 radians

D

1.5 radians

Question 54: Palette 54/62

NEET 2003 MCQ

An observer moves towards a stationary source of sound with a speed 1/5^th of the speed of sound. The wavelength and frequency of the source emitted are $\lambda $ and $f$ respectively. The apparent frequency and wavelength recorded by the observer are respectively

A

1.2 $f$,   1.2 $\lambda $

B

1.2 $f$,  $\lambda $

C

$f$,  1.2 $\lambda $

D

0.8 $f$,   0.8 $\lambda $

Question 55: Palette 55/62

NEET 2002 MCQ

A whistle revolves in a circle with angular speed $\omega $ = 20 rad/s using a string of length 50 cm. If the frequency of sound from the whistle is 385 Hz, then what is the minimum frequency heard by an observer which is far away from the centre (velocity of sound $=$ 340 m/s)

A

385 Hz

B

374 Hz

C

394 Hz

D

333 Hz.

Question 56: Palette 56/62

NEET 2002 MCQ

A wave travelling in positive X-direction with a $=$ 0.2 ms^$-$2, velocity = 360 ms^$-$1 and $\lambda $ $=$ 60 m, then correct expression for the wave is

A

$y = 0.2\sin \left[ {2\pi \left( {6t + {x \over {60}}} \right)} \right]$

B

$y = 0.2\sin \left[ {\pi \left( {6t + {x \over {60}}} \right)} \right]$

C

$y = 0.2\sin \left[ {2\pi \left( {6t - {x \over {60}}} \right)} \right]$

D

$y = 0.2\sin \left[ {\pi \left( {6t - {x \over {60}}} \right)} \right]$

Question 57: Palette 57/62

NEET 2001 MCQ

The equation of a wave is represented by

y $=$ 10^$-$4 sin(100t $-$ ${x \over {10}}$) m. then the velocity of wave will be

A

100 m/s

B

4 m/s

C

1000 m/s

D

10 m/s

Question 58: Palette 58/62

NEET 2001 MCQ

Two waves having equation x₁ = $a$sin($\omega $t $-$ kx + $\phi $₁), x₂ = asin($\omega $t $-$kx + $\phi $₂). If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

A

${\pi \over 6}$

B

${{2\pi } \over 3}$

C

${\pi \over 4}$

D

${\pi \over 3}$

Question 59: Palette 59/62

NEET 2001 MCQ

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

A

${\pi \over 4}$

B

$\sqrt 2 n$

C

n

D

${n \over {\sqrt 2 }}$

Question 60: Palette 60/62

NEET 2000 MCQ

A string is cut into three parts, having fundamental frequencies n₁, n₂, n₃ respectively. Then original fundamental frequency n related by the expression as

A

${1 \over n} = {1 \over {{n_1}}} + {1 \over {{n_2}}} + {1 \over {{n_3}}}$

B

$n = {n_1} \times {n_2} \times {n_3}$

C

n $=$ n₁ + n₂ + n₃

D

$n = {{{n_1} + {n_2} + {n_3}} \over 3}$

Question 61: Palette 61/62

NEET 2000 MCQ

The equations of two waves acting in perpendicular directions are given as
x = $a$cos($\omega $t +$\delta $) and y = $a$cos($\omega $t + $\alpha $), where $\delta $ = $\alpha $ + ${\pi \over 2}$, the resultant wave represents

A

a parabola

B

a circle

C

an ellipse

D

a straight line

Question 62: Palette 62/62

NEET 2000 MCQ

Two stationary sources each emitting waves of wavelength $\lambda $, an observer moves from one source to another with velovcity u. Then number of beats heard by him

A

${{2u} \over \lambda }$

B

${u \over \lambda }$

C

$\sqrt {u\lambda } $

D

${u \over {2\lambda }}$