8 beats/s are produced when two tuning forks A, B are made to vibrate together. The number of beats decreases to 5 beats/s when prongs of B are filed. If natural frequency of A is 282 Hz, the frequency of B before and after filing is
A
274 Hz, 277 Hz
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B
290 Hz, 287 Hz
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C
290 Hz, 277 Hz
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D
274 Hz, 290 Hz
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Solution
The correct option is A 274 Hz, 277 Hz By filing frequency of B is increased and beats is decreasing, so, frequency of B is less than frequency of A. beats=δA−δB 8=282−δB ⇒δB=274Hz
After filling beats become 5. beats=δA−δB 5=282−δB ⇒δB=277Hz