A band playing music at a frequency n is moving towards a wall at a speed vb . A motorist is following the band with a speed v m,$$-$$. If v is the speed of sound, the expression for the beat frequency heard by the motorist is

Question

Infinity Learn · Accepted Answer

The motorist receives two sounds : direct one and that reflected from the wall'  For direct sound,n′$$=v+vmv+vbn$$ For reflected sound, the reflected frequency of sound will be n′′$$=VV$$−vbn This frequency is received by the moving motorist. The apparent frequency received by him is given by n′′′$$=v+vmvn$$′′ $$=v+vmvvv$$−$$vbn=v+vmv$$−vbn ∴  Beat frequency $$=n$$"′−n′ $$=v+vmv$$−vbn−$$v+vmv+vbn$$ $$=v+vm2vbv2$$−$$vb2n$$

A band playing music at a frequency n is moving towards a wall at a speed v_b . A motorist is following the band with a speed v _m,-. If v is the speed of sound, the expression for the beat frequency heard by the motorist is

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A band playing music at a frequency n is moving towards a wall at a speed vb . A motorist is following the band with a speed v m,-. If v is the speed of sound, the expression for the beat frequency heard by the motorist is

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A band playing music at a frequency n is moving towards a wall at a speed v_b . A motorist is following the band with a speed v _m,-. If v is the speed of sound, the expression for the beat frequency heard by the motorist is