Source and observer start moving simultaneously along x and y-axis, respectively. The speed of source is twice the speed of observer, V0. If the ratio of observed frequency to the frequency of the source is 0.75, find the velocity of sound.
A
11√5V0
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B
17√5V0
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C
16√5V0
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D
19√5V0
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Solution
The correct option is C16√5V0 OS=2OPcosα=2√5,cosβ=1√5f′=f[V−V0cosβV+V0cosβ]=f⎡⎢⎣V−V0√5V+(2V0)×(2√5)⎤⎥⎦=f⎡⎢⎣V−V0√5V+4V0√5⎤⎥⎦ Given f′f=34=V−xV+4x1−32=5xV+4xV=16x=16√5V0