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An echo is heard by a radar in 0.08 s. If velocity of radio waves is 3 × 10^8 ms−1, how far is the enemy plane?

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Question

An echo is heard by a radar in 0.08 s. If velocity of radio waves is 3 × 108 ms−1, how far is the enemy plane?

Numerical
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Solution

Given t = 0.08 s; v = 3 × 108 ms−1

Now, velocity of radio waves \[= \frac{2d}{t} \]

\[ \therefore 3 \times 10^{8} \ \mathrm{ms^{-1}} = \frac{2 \times d}{0.08 \ \text{s}} \]

\[ \therefore d = \frac{3 \times 10^{8} \times 0.08}{2} \ \text{m} \]

∴ d = 1.2 × 107 m

∴ d = 12000 km

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Chapter 6: Sound - NUMERICAL PROBLEMS ON ECHOES [Page 125]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 6 Sound
NUMERICAL PROBLEMS ON ECHOES | Q 1. | Page 125
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