English

A man stands in between two cliffs X and Y, such that he is at a distance of 66 m from X. When he blows a whistle he hears the first echo after 0.4 s and the second echo after 1.2 s.

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Question

A man stands in between two cliffs X and Y, such that he is at a distance of 66 m from X. When he blows a whistle he hears the first echo after 0.4 s and the second echo after 1.2 s. Calculate : (a) speed of sound (b) distance of cliff Y from the man.

Numerical
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Solution

\[ \text{(a) Speed of sound } v = \frac{2d}{t}\]

\[= \frac{2 \times 66}{0.4}\]

= 330 ms−1

\[ \text{(b) Distance of the man from cliff Y, } d = \frac{v \times t}{2} \]

\[ = 330 \times \frac{1.2}{2}\]

= 198 m

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Chapter 6: Sound - NUMERICAL PROBLEMS ON ECHOES [Page 126]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 6 Sound
NUMERICAL PROBLEMS ON ECHOES | Q 4. | Page 126
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