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Mechanical Properties Of Fluids

Question
CBSEENPH11020738

The driver of a car travelling with speed 30 ms-1 towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 ms-1, the frequency of reflected sound as heard by driver is

  • 550 Hz

  • 555.5 Hz

  • 720 Hz

  • 500 Hz

Solution

C.

720 Hz

Apply Doppler's effect.
Whenever there is a relative motion between a source of the sound and the observer (listener), the frequency of sound heard by the observer is different from the actual frequency of sound emitted by the source.
For space case space space straight I space space
straight n apostrophe space equals space fraction numerator straight v over denominator straight v minus 30 end fraction straight n space space space... space left parenthesis straight i right parenthesis

For space case space II

straight n apostrophe apostrophe space equals space fraction numerator straight v plus 30 over denominator straight v end fraction straight n apostrophe space space space..... space left parenthesis ii right parenthesis

From space eqs. space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis comma space we space get
straight n apostrophe apostrophe space equals space fraction numerator straight v plus 30 over denominator straight v minus 30 end fraction straight n space equals space 360 over 300 space straight x space 600 space equals space 720 space Hz