The displacement of a particle is given by , 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
The wave equations of two particles are given by , , 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°. |
The equation of a progressive wave is given by .
Which of the following is correct?
1. v = 5 m / sec
2. λ = 18 m
3. a = 0.04 m
4. n = 50 Hz
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.
3.
4. a
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
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 |
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. \(30~\text{cm}\)
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 |
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 . The amplitude of the resulting wave in μm is given by:
1. 7
2. 6
3. 5
4. 4
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 |