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Physics · PYQ NEET UG 2026
हिन्दीTwo planets \( P_1 \) and \( P_2 \) with equal mass have radii \( R_1 \) and \( R_2 \), respectively, where \( R_2 = \frac{R_1}{2} \). The escape speeds of \( P_1 \) and \( P_2 \) are \( v_1 \) and \( v_2 \), respectively. Then \( \frac{v_2}{v_1} \) is :
Correct answer · Option 3
\( \sqrt{2} \)
Explanation
Escape velocity \( v = \sqrt{\frac{2GM}{R}} \). Since \( M \) is equal, \( v \propto \frac{1}{\sqrt{R}} \), hence \( \frac{v_2}{v_1} = \sqrt{\frac{R_1}{R_2}} = \sqrt{2} \).
