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< HW#16: Waves &amp;amp; Sound Problem 12.80 Two trains emit 441 Hz
< HW#16: Waves &amp;amp; Sound Problem 12.80 Two trains emit 441 Hz
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The frequency of the whistles emitted from stationary source, n_1 = 441 Hz The frequency of the whistles emitted from moving train, n_2 = 441 Hz the frequency of the whittles, headed by the conductor of stationary train which has emitted from the moving train is given by the relation n_3 = c + v_0/c - v_s n_2 where c = speed of sound = 330 m/s v_0 = speed of observed = 0 [stationary] v_s = speed of source i. e moving train so, equation 1 becomes, n_3 = c/c - v_s n_2 implies n_3 > n_2 i. e. n_3 > n_1 Beat = frequency difference of the sounds hears the conductor from the stationary train and moving train = (n_1, n_3) [difference n_1 and n_3] therefore -n_1 + n_3 = -n_1 + c/c - v_s n_2 [n_3 > 3.2 = n_2 [-1 + c/c - vs] [n_1 = implies -1 + c/c - vs = 3.2/n_2
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