A body emitting sound of frequency 350 Hz is dropped from a balloon rising vertically upwards with constant velocity 5 m/s. The frequency of sound as felt by the observer in the balloon 2 s after the release is: (Velocity of sound in air is 335m/s; acceleration due to gravity is 10ms $^{- 2}$ )

330 Hz

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235 Hz

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340 Hz

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355 Hz

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Solution

The correct option is A 330 Hz
Velocity of observer, $v_{o} = 5 m s^{- 1}$
Velocity of sound, $v_{s} = g t = 10 (2) = 20 m s^{- 1}$
$∴$ Frequency, $f^{'} = (\frac{v - v_{s}}{v + v_{o}}) f$ $= (\frac{335 - 20}{335 + 5}) 350$ $= 330 H z$

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A body emitting sound of frequency 350 Hz is dropped from a balloon rising vertically upwards with constant velocity 5 m/s. The frequency of sound as felt by the observer in the balloon 2 s after the release is: (Velocity of sound in air is 335m/s; acceleration due to gravity is 10ms−2)

The correct option is A 330 HzVelocity of observer, vo=5 ms−1Velocity of sound, vs=gt=10(2)=20 ms−1∴ Frequency, f′=(v−vsv+vo)f =(335−20335+5)350 =330 Hz

A body emitting sound of frequency 350 Hz is dropped from a balloon rising vertically upwards with constant velocity 5 m/s. The frequency of sound as felt by the observer in the balloon 2 s after the release is: (Velocity of sound in air is 335m/s; acceleration due to gravity is 10ms $^{- 2}$ )

The correct option is A 330 Hz
Velocity of observer, $v_{o} = 5 m s^{- 1}$
Velocity of sound, $v_{s} = g t = 10 (2) = 20 m s^{- 1}$
$∴$ Frequency, $f^{'} = (\frac{v - v_{s}}{v + v_{o}}) f$ $= (\frac{335 - 20}{335 + 5}) 350$ $= 330 H z$