OnlineCBT
Physics · GRAVITATION
हिन्दीA body is projected vertically upwards from the surface of the Earth with a speed \( v_i = \sqrt{3} v_e \), where \( v_e \) is the escape speed from the Earth's surface. Its speed at an infinite distance from the Earth will be:
Correct answer · Option 1
\( \sqrt{2} v_e \)
Explanation
From energy conservation: \( \frac{1}{2}m v_i^2 - \frac{1}{2}m v_e^2 = \frac{1}{2}m v_\infty^2 \implies v_\infty = \sqrt{v_i^2 - v_e^2} = \sqrt{3 v_e^2 - v_e^2} = \sqrt{2} v_e \).
