The displacement of a particle is given by y=5×104sin(100t50x), where x is in metres and t is in seconds. The velocity of the wave is:

1. 5000 m/sec

2. 2 m/sec

3. 0.5 m/sec

4. 300 m/sec

Subtopic:  Wave Motion |
 89%
From NCERT
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The wave equations of two particles are given by y1=asin(ωtkx), y2=asin(kx+ωt), then:

1. they are moving in the opposite direction.
2. the phase between them is 90°.
3. the phase between them is 45°.
4. the phase between them is 0°.
Subtopic:  Wave Motion |
 79%
From NCERT
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The equation of a progressive wave is given by y=4sinπt5x9+π6.
Which of the following is correct​​​​?
1. v = 5 m / sec
2.  λ = 18 m
3.  a = 0.04 m
4.  n = 50 Hz

Subtopic:  Wave Motion |
 85%
From NCERT
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Two waves are propagating to the point P along a straight line produced by two sources, A and B, of simple harmonic and equal frequency. The amplitude of every wave at P is ‘a’ and the phase of A is ahead by π/3 than that of B, and the distance AP is greater than BP by 50 cm. If the wavelength is 1 meter, then the resultant amplitude at point P will be: 
1. 2a
2. a3
3. a2
4. a

Subtopic:  Standing Waves |
From NCERT
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Tuning fork \(F_1\) has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork \(F_2\). When \(F_2\) is loaded with wax, it still produces 6 beats/second with \(F_1\). The frequency of \(F_2\) before loading was:
1. 253 Hz
2. 262 Hz
3. 250 Hz
4. 259 Hz

Subtopic:  Beats |
 70%
From NCERT
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Two tuning forks, A and B, vibrating simultaneously produce 5 beats. The frequency of B is 512 Hz. It is seen that if one arm of A is filed a little, then the number of beats increases. The frequency of A in Hz will be:

1. 502 2. 507
3. 517 4. 522
Subtopic:  Beats |
 69%
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The equation of a stationary wave is \(y = 0.8 ~cos\left(\frac{\pi x}{20}\right)sin200(\pi t)\), where \(x\) is in cm and \(t\) is in sec. The separation between consecutive nodes will be:

1. \(20~\text{cm}\)

2. \(10~\text{cm}\)

3. \(40~\text{cm}\)

4. \(30~\text{cm}\)

Subtopic:  Standing Waves |
 76%
From NCERT
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A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio:

1. 1 : 2 2. 2 : 3
3. 3 : 4 4. 4 : 5
Subtopic:  Standing Waves |
 73%
From NCERT
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Three waves of equal frequency having amplitudes of 10 μm, 4 μm and 7 μm arrive at a given point with a successive phase difference of π2. The amplitude of the resulting wave in μm is given by:
1. 7
2. 6
3. 5
4. 4

Subtopic:  Standing Waves |
 60%
From NCERT
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An organ pipe that is closed at one end has a fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe that a normal person can hear is: 

1. 14 2. 13
3. 6 4. 9
Subtopic:  Standing Waves |
 59%
From NCERT
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