SATHEE: Wave Motion 4 Question 14

Wave Motion 4 Question 14

13. A train moves towards a stationary observer with speed $34 m / s$ . The train sounds a whistle and its frequency registered by the observer is $f_{1}$ . If the train’s speed is reduced to $17 m / s$ , the frequency registered is $f_{2}$ . If the speed of sound is $340 m / s$ , then the ratio $f_{1} / f_{2}$ is

$(2000, 2 M)$

(a) $18 / 19$

(b) $1 / 2$

(c) 2

(d) $19 / 18$

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Answer:

Correct Answer: 13. (c)

Solution:

$f_{1} = f (\frac{v}{v - v_{s}}) \Rightarrow f_{1} = f (\frac{340}{340 - 34}) = f (\frac{340}{306})$

$\begin{array}{ll} and & f_{2} = f (\frac{340}{340 - 17}) = f (\frac{340}{323}) \\ ∴ & \frac{f_{1}}{f_{2}} = \frac{323}{306} = \frac{19}{18} \end{array}$

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Wave Motion 4 Question 14

13. A train moves towards a stationary observer with speed 34m/s. The train sounds a whistle and its frequency registered by the observer is f1. If the train’s speed is reduced to 17m/s, the frequency registered is f2. If the speed of sound is 340m/s, then the ratio f1/f2 is

Answer:

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