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A motor cycle starts from rest and accel...

A motor cycle starts from rest and accelerates along a straight path at `2m//s^(2)`. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at `94%` of its value when the motor cycle was at rest ? (Speed of sound = `330ms^(-2))`

A

49 m

B

98 m

C

147 m

D

196 m

Text Solution

Verified by Experts

The correct Answer is:
B
`v_M = u^2 +2as`
`implies v_M=2sqrts`
Now, `f.=f((v-v_M)/v)`
`implies 0.94 f =f ((330 - 2sqrts)/(330))`
`implies s = ((330 - 0.94 xx 330)/(2))^2 = 98 m`
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