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10%20-%20Waves - 10 WAVES Page 1 Answers at the end of all...

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10 - WAVES Page 1 ( Answers at the end of all questions ) 1 ) When two tuning forks ( fork 1 and fork 2 ) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of fork 2. When the tuning forks are sounded again, 6 beats per second are heard. If the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2 ? ( a ) 202 Hz ( b ) 200 Hz ( c ) 204 Hz ( d ) 196 Hz [ AIEEE 2005 ] 2 ) An observer moves towards a stationary source of sound with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ? 3 ) The displacement y of a particle in a medium can be expressed as y = 10 - 6 sin ( 100t + 20x + π / 4 ) m, where t is in second and x in metre. The speed of the wave is 4 ) The displacement y of a wave travelling in the x direction is given by y = 10 - 4 sin ( 600t - 20x + π / 3 ) metres, where x is expressed in metres and t in seconds. The speed of the wave motion is 5 ) A tuning fork of frequency 256 Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second, when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was ( a ) ( 256 + 2 ) Hz ( b ) ( 256 + 5 ) Hz ( c ) ( 256 - 2 ) Hz ( d ) ( 256 - 5 ) Hz [ AIEEE 2003 ] 6 ) The displacement of a wave is given by the equation y = 2 sin ( π / 1.6 ) ( 64t - x ). The frequency of the wave is 7 ) Transverse are generated in two uniform wires A and B by attaching their free ends to a vibrating source of frequency 600 Hz. The diameter of wire A is one-third that of wire B and tension in the wire A is double that in wire B. What is the ratio of velocities of waves of waves in wire A and B ? 8 ) If the phase difference between two points is 60 ° on a wave velocity of 360 m / s and frequency 500 Hz, then path difference between the two points is 9 ) A resonance air column of length 40 cm resonates with a tuning fork of frequency 450 Hz. Ignoring end correction, the velocity of sound in air will be ( a ) 720 m / s ( b ) 820 m / s ( c ) 920 m / s ( d ) 1020 m / s [ AIEEE 2002 ] 10 ) An observer is moving towards a stationary source of frequency 250 Hz with a velocity of 40 m / s. If the velocity of sound is 330 m / s, the apparent frequency heard by the observer will be
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10 - WAVES Page 2 ( Answers at the end of all questions )
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