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## Waves

### Physics

#### Previous Years Questions

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If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse ...
NEET 2022
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. Whe...
NEET 2020 Phase 1
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...
NEET 2018
The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of ...
NEET 2018
Two cars moving in opposite directions approach each other with speed of 22 m s$$-$$1 and 16.5 m s$$-$$1 respectively. T...
NEET 2017
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 fundament...
NEET 2017
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...
NEET 2016 Phase 1
An air column, closed at one end open at the other, resonates with a tuning fork when the smallest length of the column ...
NEET 2016 Phase 1
Three sound waves of equal amplitudes have frequencies (n $$-$$ 1), n, (n + 1). They superimpose to give beats. The num...
NEET 2016 Phase 2
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. The...
NEET 2016 Phase 1
The second overtone of an open organ pipe has the same frquency as the first overtone of a closed pipe L metre long. The...
NEET 2016 Phase 2
The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open a...
AIPMT 2015
A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz ...
AIPMT 2015
A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. T...
AIPMT 2015
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 mo...
AIPMT 2015
The number of possible natural oscillations of air column in a pipe closed at one end length 85 cm whose frequencies lie...
AIPMT 2014
A speeding motorcyclist sees traffic jam ahead him. He slows down to 36 km hour$$-$$1. He finds that traffic has eased a...
AIPMT 2014
If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original f...
AIPMT 2014
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...
NEET 2013 (Karnataka)
The length of the wire between two ends of a sonometer is 100 cm. What should be the positions of two bridges below the ...
NEET 2013 (Karnataka)
A source of unknown frequency gives 4 beats/s when sounded with a source of known frquency 250 Hz. The second harmonic o...
NEET 2013
A wave travelling in the + ve x-direction having displacement along y-direction as 1 m, wavelength 2$$\pi$$ m and freq...
NEET 2013
If we study the vibration of a pipe open at both ends. then the following statement is not true.
NEET 2013
The equation of a simple harmonic wave is given by y = 3 sin$${\pi \over 2}$$(50t $$-$$ x), where x and y are in metre...
AIPMT 2012 Mains
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 ...
AIPMT 2012 Mains
Two sources of sound placed close to each other, are emitting progressive waves given by y1 = 4sin600$$\pi$$t and y2...
AIPMT 2012 Prelims
When a string is divided into three segments of length $$l$$1, $$l$$2 and $$l$$3 the fundamental frequencies of these th...
AIPMT 2012 Prelims
Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase...
AIPMT 2011 Mains
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...
AIPMT 2011 Prelims
Two waves are represented by the equations y1 = $$a$$sin($$\omega$$t + kx + 0.57) m and y2 = acos($$\omega$$t + kx) ...
AIPMT 2011 Prelims
A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decr...
AIPMT 2010 Prelims
A transverse wave is represented by y = Asin($$\omega$$t $$-$$ kx). For what value of the wavelength is the wave veloc...
AIPMT 2010 Prelims
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. an...
AIPMT 2009
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 so...
AIPMT 2009
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 bo...
AIPMT 2009
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 wav...
AIPMT 2008
Two periodic waves of intensities $$I$$1 and $$I$$2 pass through a region at the same time in the same direction. The su...
AIPMT 2008
A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin($$\omega$$t +...
AIPMT 2008
Which one of the following statements is true ?
AIPMT 2006
A transverse wave propagating along x-axis is represented by y(x, t) = 8.0 sin (0.5 $$\pi$$x $$-$$ 4$$\pi$$t $$-$$ $$\... AIPMT 2006 The time of reverberation of a room A is one second. What will be the time (in seconds of reverberation of a room, havin... AIPMT 2006 Two sound waves with wavelengths 5.0 m and 5.5. m respectively, each propagate in a gas with velocity 330 m/s. We expect... AIPMT 2006 Two vibrating tuning forks produce waves given by y1 = 4 sin 500$$\pi $$t and y2 = 2 sin506$$\pi $$t. Number of beats p... AIPMT 2006 A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2... AIPMT 2005 The phase difference between two waves. represented by y1 = 10$$-$$6 sin[100t + (x/50) + 0.5] m y2 = 10$$-$$6 cos[100t +... AIPMT 2004 A car is moving towards a high cliff. The driver sounds a horn of frequency$$f$$. The reflected sound heard by the dri... AIPMT 2004 An observer moves towards a stationary source of sound with a speed 1/5th of the speed of sound. The wavelength and freq... AIPMT 2003 A wave travelling in positive X-direction with a$$=$$0.2 ms$$-$$2, velocity = 360 ms$$-$$1 and$$\lambda =$$60 m... AIPMT 2002 A whistle revolves in a circle with angular speed$$\omega $$= 20 rad/s using a string of length 50 cm. If the frequenc... AIPMT 2002 If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fun... AIPMT 2001 The equation of a wave is represented by y$$=$$10$$-$$4 sin(100t$$-{x \over {10}}$$) m. then the velocity of w... AIPMT 2001 Two waves having equation x1 =$$a$$sin($$\omega $$t$$-$$kx +$$\phi $$1), x2 = asin($$\omega $$t$$-$$kx +$$\phi $$2... AIPMT 2001 A string is cut into three parts, having fundamental frequencies n1, n2, n3 respectively. Then original fundamental fre... AIPMT 2000 Two stationary sources each emitting waves of wavelength$$\lambda $$, an observer moves from one source to another with... AIPMT 2000 The equations of two waves acting in perpendicular directions are given as x =$$a$$cos($$\omega $$t +$$\delta ) and ...
AIPMT 2000

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