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qUESTIONS

The displacement y of a particle is given by y=4cos^2(t/2)sin(1000t). This expression may be considered to be a result of the superposition of how many simple harmonic motions?

A cylindrical tube, open at both ends, has a fundamental frequency f in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is

An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz. The fundamental frequency of pipe is

In open organ pipe, if fundamental frequency is v then the other frequencies are

A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibrations simultaneously in their fundamental mode. The length of open organ pipe is now halved and of closed organ pipe is doubled, the number of beats produced will be

An organ pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic. The ratio of length of two pipe is

An open tube is in resonance with string. If tube is dipped in water so that 75% of length of tube is inside water, then the ratio of the frequency (v0) of tube to string now will be

In a resonance pipe the first and second resonances are obtained at depths 22.7cm and 70.2 cm respectively. What will be the end correction (in cm)?

A resonance pipe is open at both ends and 30 cm of its length is in resonance with an external frequency 1.1 kHz. If the speed of sound is 330 m/s which harmonic is in resonance

A closed organ pipe of length L and an open organ pipe contain gases of densities p1 and p2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is

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