For a wave \(y=y_0 \sin (\omega t-k x)\), for what value of \(\lambda\) is the maximum particle velocity equal to two times the wave velocity?
1. \(\pi y_0\)
2. \(2\pi y_0\)
3. \(\pi y_0/2\)
4. \(4\pi y_0\)

Subtopic:  Wave Motion |
 73%
From NCERT
AIPMT - 1998
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Two stationary sources exist, each emitting waves of wavelength λ. If an observer moves from one source to the other with velocity u, then the number of beats heard by him is equal to:

1. 2uλ

2. uλ

3. μλ

4. μ2λ

Subtopic:  Beats |
 58%
From NCERT
AIPMT - 2000
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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 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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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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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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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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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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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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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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