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CBSE Class 11-science Answered

A column of air in an organ pipe and a tuning fork produce 4 beats per second when sounded together ,the tuning fork giving the lower tone,the temperature of air is 15 C ,when the temperature falls to 10 C ,the two produce 3 beats persond.Find the frequency of the tuning fork. (3 marks) 
Asked by rounaksingh70 | 04 Jun, 2020, 01:40: AM
answered-by-expert Expert Answer
f subscript 15 to the power of 0 end subscript minus f subscript T equals 4 rightwards double arrow f subscript 15 to the power of 0 end subscript equals f subscript T plus 4 f subscript 10 to the power of 0 end subscript minus f subscript T equals 3 rightwards double arrow f subscript 10 to the power of 0 end subscript equals f subscript T plus 3 v equals f lambda T h e r e f o r e space w e space c a n space w r i t e v subscript 15 over v subscript 10 equals fraction numerator f subscript T plus 4 over denominator f subscript T plus 3 end fraction v space i s space p e o p o r t i o n a l space t o space square root of T fraction numerator square root of 288 over denominator square root of 283 end fraction equals fraction numerator f subscript T plus 4 over denominator f subscript T plus 3 end fraction O n space s o l v i n g space w e space g e t space f subscript T equals 110.2 H z
Answered by Utkarsh Lokhande | 04 Jun, 2020, 06:54: AM
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