SATHEE: Wave Motion 4 Question 12

Wave Motion 4 Question 12

12. A siren placed at a railway platform is emitting sound of frequency $5 kHz$ . A passenger sitting in a moving train $A$ records a frequency of $5.5 kHz$ , while the train approaches the siren. During his return journey in a different train $B$ he records a frequency of $6.0 kHz$ while approaching the same siren. The ratio of the velocity of $train B$ to that of $train A$ is

$(2002, 2 M)$

(a) $242 / 252$

(b) 2

(d) $11 / 6$

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Answer:

Correct Answer: 12. (b)

Solution:

Using the formula $f^{'} = f (\frac{v + v_{0}}{v})$ we get, $5.5 = 5 (\frac{v + v_{A}}{v}) \dots (i)$ and $6.0 = 5 (\frac{v + v_{B}}{v}) \dots (i i)$

Here, $\begin{aligned} v & = speed of sound v_{A} & = speed of train A v_{B} & = speed of train B \end{aligned}$

Solving Eqs. (i) and (ii), we get $\frac{v_{B}}{v_{A}} = 2$

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Wave Motion 4 Question 12

Answer:

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