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Two car moving in opposite directions approach each other with speed of `22m//s` and `16.5m//s` respectively. The driver of the first car blows a horn having a frequency `400 Hz`. The frequency heard by the driver of the second car is [velocity of sound `340m//s`].

A

`350 Hz`

B

`361 Hz`

C

`411 Hz`

D

`448 Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, first car is the source, second car is listener
`upsilon_(s) = 22 m//s, nu = 400 Hz`
`upsilon_(L) = 16.5 m//s, upsilon = 340 m//s`
As source and listener move towards eachother, therefore
`nu' = ((upsilon + upsilon_(L)))/(upsilon - upsilon_(s)) = ((340 + 16.5)400)/(340 - 22)`
`= (356.5)/(318) xx 400 = 448 Hz`
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Knowledge Check

  • Two cars moving in opposite directio approach each other with speed of 22m//s and 16.5m//s respectively . The driver of the first car blows a horn having a frequency 400Hz . The frequency heard by the driver of the second car is [ velocity of the sound 340m//s]

    A
    `350Hz`
    B
    `361Hz`
    C
    `411Hz`
    D
    `448Hz`

  • Two cars moving in opposite directions approach each other with speed of 22m/s and 16.5 m/s respectively . The driver of the first car blows a hrom having a frequency 400 Hz . The frequency heard by the driver of the second car is [velocity of sound 340 m/s]

    A
    350 Hz
    B
    361 Hz
    C
    411 Hz
    D
    448 Hz

  • Two cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver or the first car blows a horn having a frequency 400 Hz .The frequency heard by the driver of the second car is (velocity of sound 340 m/s):

    A
    361 Hz
    B
    411 Hz
    C
    448 Hz
    D
    350 Hz

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