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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Which of the following statements is/are correct.

a. Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both.
b. Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal.
c. Waves produced by a motorboat sailing in water are transverse and longitudinal, both.
d. Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal.


1. (a), (b) and (d)
2. (b) and (d)
3. (a), (c) and (d)
4. All are correct

Subtopic:  Types of Motion |
 61%
From NCERT
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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 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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Two vibrating tuning forks produce progressive waves given by \(Y_1 = 4 ~\mathrm{sin}~500 \pi \mathrm{t}\) and \(Y_2 = 2 ~\mathrm{sin}~506 \pi \mathrm{t}\). The number of beats produced per minute is:

1. \(3\) 2. \(360\)
3. \(180\) 4. \(60\)
Subtopic:  Beats |
 57%
From NCERT
AIPMT - 2005
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A string is cut into three parts, having fundamental frequencies n1, n2, and nrespectively. The original fundamental frequency "n" is related by the expression:

1. 1n=1n1+1n2+1n3

2. n=n1×n2×n3

3. n=n1+n2+n3

4. n=n1+n2+n33

Subtopic:  Standing Waves |
 84%
From NCERT
AIPMT - 2000
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The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be:

1. 1%

2. 2%

3. 3%

4. 4%

Subtopic:  Travelling Wave on String |
 86%
From NCERT
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