Wave Motion 5 Question 10

10. The spread of frequency as observed by the passengers in train $B$ is

(2007, 4M)

(a) $310 Hz$

(b) $330 Hz$

(c) $350 Hz$

(d) $290 Hz$

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Answer:

Correct Answer: 10. (a)

Solution:

  1. For the passengers in train $B$, observer is receding with velocity $30 m / s$ and source is approaching with velocity $20 m / s$.

$\therefore \quad f _1^{\prime}=800\left(\frac{340-30}{340-20}\right)=775 Hz$

and

$$ f _2^{\prime}=1120\left(\frac{340-30}{340-20}\right)=1085 Hz $$

$\therefore$ Spread of frequency $=f _2^{\prime}-f _1^{\prime}$

$$ =310 Hz $$



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