If the equation of a wave is represented by:

y = 10-4 sin(100t - x10)m, then the velocity of wave will be:
1.  100 m/s
2.  4 m/s
3.  1000 m/s
4.  0.00 m/s

Subtopic:  Wave Motion |
 89%
From NCERT
AIPMT - 2001
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Two waves have the following equations:

x1 = a sin (ωt + ϕ1)
x2 = a sin (ωt + ϕ2)

If in the resultant wave, the frequency and amplitude remain equal to the amplitude of superimposing waves, then the phase difference between them will be:

1.  π6

2. 2π3

3. π4

4. π3

Subtopic:  Standing Waves |
 74%
From NCERT
AIPMT - 2001
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If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved, then its fundamental frequency will become:

1. n4

2.  2 n 

3.  n 

4.  n2

Subtopic:  Standing Waves |
 65%
From NCERT
AIPMT - 2001
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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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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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The equations of two waves are given as x = acos(ωt + δ) and y = a cos (ωt + α), where δ = α + π/2, then the resultant wave can be represented by:

1. a circle (c.w)

2. a circle (a.c.w)

3. an ellipse (c.w)

4. an ellipse (a.c.w)

Subtopic:  Standing Waves |
 52%
From NCERT
AIPMT - 2000
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