devarshi-dt-logo

Question:

A train S1, moving with a uniform velocity of 108 km/h, approaches another train S2 standing on a platform. An observer O moves with a uniform velocity of 36 km/h towards S2, as shown in figure. Both the trains are blowing whistles of the same frequency 120 Hz. When O is 600 m away from S2 and the distance between S1 and S2 is 800 m, the number of beats heard by O is _________. (Speed of the sound = 330 m/s)

8.13

Solution:

Correct option is A. 8.13
Speed of sound = 330 m/s
Calculate beat
fb = 120[(330 + 10cos 53°)/(330 + 30cos 37°) – (330 + 10)/(330)] = 120[336/306 – 340/330] = 8.128 Hz.