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Q.

A train is moving at  30 ms-1  in still air. The frequency of the locomotive whistle is 500 Hz and the speed of sound is  345 ms-1. The apparent wavelength of sound in front of and behind the locomotive are respectively 

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a

0.80m, 0.63m

b

0.63m, 0.80m

c

0.50m, 0.85m

d

0.63m, 0.75m

answer is D.

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Detailed Solution

detailed_solution_thumbnail

In front of locomotive 

χ=λV−VSV=V−VSn

∴λ′=345−30500=315500=0.63m

Behind locomotive,

λ′=λVV+Vs=V+Vsn

∴λ′=345+30500=375500=0.75m

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