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  • Two sources of sound S1 and S2 produce sound waves of same frequency xHZ. A listener is moving from source S1 towards S2 with a const

Two sources of sound S1 and S2 produce sound waves of same frequency xHZ. A listener is moving from source S1 towards S2 with a constant speed 2.5m/s and he hear 10 beats/s.The velocity of sound is 300m/s. Then x=?

Option: 1

210Hz


Option: 2

120Hz


Option: 3

400Hz


Option: 4

600Hz


Answers (1)

best_answer

f_1=f(\frac{v-u}{v}) - (1)\\ f_2=f(\frac{v+u}{v}) - (2)\\ f_2-f_1 = 10\\ f(\frac{v+u}{v})-f(\frac{v-u}{v})=10\\ f[\frac{v+u}{v}-\frac{v-u}{v}]=10\\ \frac{2uf}{v}=10\\2uf=10v\\f=\frac{10v}{2u}\\f=\frac{10\times300}{2\times2.5}=600Hz\\x=600Hz

Posted by

manish painkra

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