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Physics · MOTION IN A PLANE
हिन्दीA man standing on a road observes rain falling vertically at a speed of \( 20\text{ m/s} \). When he starts running horizontally at \( 20\text{ m/s} \), the rain appears to hit him at an angle \( \theta_1 \) with the vertical. If he doubles his running speed to \( 40\text{ m/s} \), the rain appears to hit him at an angle \( \theta_2 \) with the vertical. Calculate the ratio \( \frac{\tan\theta_2}{\tan\theta_1} \).
Correct answer · Option 3
2
Explanation
Initially \( \tan\theta_1 = \frac{v_m}{v_r} = \frac{20}{20} = 1 \). When speed doubles, \( \tan\theta_2 = \frac{2v_m}{v_r} = \frac{40}{20} = 2 \). Ratio \( \frac{\tan\theta_2}{\tan\theta_1} = \frac{2}{1} = 2 \).
