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Two persons A and B are on a horizontal ground at a separation of 60m. Person A is blowing a whistle at a frequency of 252 Hz and at the same time he is moving towards B with a velocity of 8.5 m/s. If velocity of sound in air is 340 m/s, the wavelength of sound wave received by B

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1.5 m

1.315m

2.125 m

2.2 m

answer is B.

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Detailed Solution

Apparent frequency of sound wave received by B is given by ,

$γ = \frac{γ_{o}}{(1 - \frac{v}{v_{s}})} = \frac{252}{(1 - \frac{8 .5}{340})} Hz = 258 .46 Hz ∴ Wavelength = \frac{v_{s}}{v} = \frac{340}{258 .46} m = 1 .315 m$

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