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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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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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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