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PhysicsHardMCQ2019 · 12 Apr Shift 1

Q12.A submarine A travelling at 18km hr-1 is being chased along the line of its velocity by another submarine B travelling at 27 km hr-1 . B sends a sonar signal of 500 Hz to detect A and receives a reflected sound of frequency v. The value of v is closed to (Speed of sound in water 1500 m s-1 ) (1) 504 Hz (2) 499 Hz (3) 502 Hz (4) 507 Hz

What This Question Tests

This question involves a double Doppler effect calculation: first for the sound reaching the target submarine, and then for the reflected sound returning to the source, requiring careful consideration of relative velocities.

Concepts Tested

Doppler effect formulaReflection of soundRelative velocities

Formulas Used

f' = f [(v ± v_observer) / (v ± v_source)]

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