For a wave y=y0sin(ωtkx)y=y0sin(ωtkx), for what value of λλ is the maximum particle velocity equal to two times the wave velocity?
1. πy0πy0
2. 2πy02πy0
3. πy0/2πy0/2
4. 4πy04πy0

Subtopic:  Wave Motion |
 75%
From NCERT
AIPMT - 1998
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If a standing wave having 33 nodes and 22 antinodes is formed within 1.21 ˚A1.21 ˚A distance, then the wavelength of the standing wave will be:
1. 1.21 ˚A1.21 ˚A
2. 2.42 ˚A2.42 ˚A
3. 0.605 ˚A0.605 ˚A
4. 4.84 ˚A4.84 ˚A
Subtopic:  Standing Waves |
 81%
From NCERT
AIPMT - 1998
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A cylindrical tube (L=125 cm)(L=125 cm) is resonant with a tuning fork at a frequency of 330 Hz330 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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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 |
 57%
From NCERT
AIPMT - 2000
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A string is cut into three parts, having fundamental frequencies n1,n2, and n3 respectively. 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 |
 86%
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 |
 54%
From NCERT
AIPMT - 2000
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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 |
 68%
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 |
 77%
From NCERT
AIPMT - 2001
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If the equation of a wave is represented by: y=104 sin(100tx10) m, where x is in meters and t in seconds, then the velocity of the wave will be:

1. 100 m/s 2. 4 m/s
3. 1000 m/s 4. 0 m/s
Subtopic:  Wave Motion |
 88%
From NCERT
AIPMT - 2001
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If a wave is travelling in a positive x-direction with A=0.2 m,  v=360 m/s, and λ=60 m, then the correct expression for the wave will be:
1.  y=0.2sin[2π(6t+x60)]
2. y=0.2sin[π(6t+x60)]
3. y=0.2sin[2π(6tx60)]
4. y=0.2sin[π(6tx60)]
Subtopic:  Wave Motion |
 87%
From NCERT
AIPMT - 2002
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