15%20%20-%20%20Waves

15%20%20-%20%20Waves - 15 WAVES Page 1 1 Two wires placed...

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15 - WAVES Page 1 1 ) Two wires placed to each other are vibrating in their first harmonic. The sound produced by the two wires produce 5 beats per second. If the longer wire is 25 cm long and the velocity of waves in wire is 50 m / s, then find length of the smaller wire. [ March, 2003 ] ( Ans: 23.8 cm ) 2 ) A propagating harmonic wave expression is y = 0.05 sin ( 628t 1.8x ) meter. Find the values of ( a ) the wave-length, ( b ) the frequency and ( c ) the velocity of the wave. [ April, 2002, October, 1990 ] ( Ans: ( a ) 3.49 m, ( b ) 100 Hz, ( c ) 349 m / s ) 3 ) Two sound waves of wavelengths 140 cm and 140.4 cm, propagating in a gas, produce 8 beats per second. Find the velocity of the sound wave in M. K. S. system. [ March, 1998 ] ( Ans: 3931 m / s ) 4 ) For a wave in a wire, the velocity is 10 m / s and wavelength is 4 cm. Calculate the angular frequency and the wave-vector. [ October, 1997 ] ( Ans: 500 π rad / s, 157 rad / m ) 5 ) A source producing a sound of the frequency 660 Hz moves with the velocity 10 m / s. The velocity of sound is 340 m / s. Compute the frequency of sound, listened by a stationary listener, for the under mentioned cases: ( 1 ) The source is moving towards stationary listener. ( 2 ) The source is moving away from the stationary listener. [ October, 1996 ] ( Ans: ( 1 ) 680 Hz, ( 2 ) 642 Hz ) 6 ) y = 10 sin π ( 5t 2x ) is the equation of a wave propagating in the positive direction of the x-axis, x and y are in m. Find velocity
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15%20%20-%20%20Waves - 15 WAVES Page 1 1 Two wires placed...

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