If a wave is travelling in a positive X-direction with A = 0.2 m, velocity = 360 m/s, and λ = 60 m, then the correct expression for the wave will be:

1.  \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\)
2. \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}+\frac{\mathrm{x}}{60}\right)\right]\)
3. \(\mathrm{y}=0.2 \sin \left[2 \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\)
4. \(\mathrm{y}=0.2 \sin \left[ \pi\left(6 \mathrm{t}-\frac{\mathrm{x}}{60}\right)\right]\)

Subtopic:  Wave Motion |
 85%
From NCERT
AIPMT - 2002
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A whistle revolves in a circle with an angular speed ω = 20 rad/sec 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? (Vsound = 340 m/s)
1. 385 Hz
2. 374 Hz
3. 394 Hz
4. 333 Hz

Subtopic:  Doppler's Effect (OLD NCERT) |
 62%
From NCERT
AIPMT - 2002
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An observer moves towards a stationary source of sound with a speed of 1/5th of the speed of sound. The wavelength and frequency of the source emitted are λ and f, respectively. The apparent frequency and wavelength recorded by the observer are, respectively:
1. 1.2f, 1.2λ
2. 1.2f, λ
3. f, 1.2λ
4. 0.8f, 0.8λ

Subtopic:  Doppler's Effect (OLD NCERT) |
 74%
From NCERT
AIPMT - 2003
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A steel wire \(0.72~\text{m}\) long has a mass of \(5\times10^{-3}~\text{kg}\). If the wire is under tension of \(60~\text{N}\), the speed of transverse waves on the wire will be:
1. \(85~\text{m/s}\)
2. \(83~\text{m/s}\)
3. \(93~\text{m/s}\)
4. \(100~\text{m/s}\)

Subtopic:  Travelling Wave on String |
 71%
From NCERT
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The phase difference between two waves, represented by
y1=106sin{100t+(x/50)+0.5}my2=106cos{100t+(x50)}m
where X is expressed in metres and t is expressed in seconds, is approximate:
1. 2.07 radians
2. 0.5 radians
3. 1.5 radians
4. 1.07 radians

Subtopic:  Wave Motion |
 59%
From NCERT
AIPMT - 2004
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A cylindrical tube (L = 125 cm) is resonant with a tuning fork at a frequency of 330 Hz. If it is filled with water, then to get the resonance again, the minimum length of the water column will be: (vair = 330 m/s)
1.  50 cm
2.  60 cm
3.  25 cm
4.  20 cm

Subtopic:  Standing Waves |
From NCERT
AIPMT - 1999
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A car is moving towards a high cliff. The car driver sounds a horn at a frequency of 'f'. The reflected sound heard by the driver has a frequency of 2f. If 'v' is the velocity of sound, then the velocity of the car, in the same velocity units, will be:
1. v/3
2. v/4
3. v/2
4. v/2

Subtopic:  Doppler's Effect (OLD NCERT) |
 65%
From NCERT
AIPMT - 2004
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If a source moves perpendicularly to the listener, then the change in frequency will be:
1.  2n
2.  n
3.  n/2
4.  Zero

Subtopic:  Doppler's Effect (OLD NCERT) |
 77%
From NCERT
AIPMT - 1998
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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:
1. \(3:2\)
2. \(2:3\)
3. \(9:4\)
4. \(4:9\)

Subtopic:  Energy of Waves |
 73%
From NCERT
AIPMT - 2005
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If a standing wave having 3 nodes and 2 antinodes is formed within 1.21 Å distance, then the wavelength of the standing wave will be:
1. 1.21 Å
2. 2.42 Å
3. 0.605 Å
4. 4.84 Å

Subtopic:  Standing Waves |
 78%
From NCERT
AIPMT - 1998
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