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JEE Main 2026 (22 Jan, Shift 1) · Escape Velocity

Escape Velocity question from JEE Main 2026 (22 Jan, Shift 1)

Q2JEE Main 2026 · 22 JAN · SHIFT 1Easy

Escape Velocity

The escape velocity from a spherical planet $A$ is $10\text{ km/s}$ . The escape velocity from another planet $B$ whose density and radius are $10\%$ of those of planet $A$ , is $\underline{\hspace{3em}}\text{ m/s}$ .

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Answer: (d)

$v_e \propto R\sqrt{\rho}$
$v_B = 10^{4} \times 0.1 \times \sqrt{0.1}$ m/s $= \frac{1000}{\sqrt{10}}$ m/s
$v_B = 100\sqrt{10}$ m/s $\approx 316$ m/s
So the answer is (d) $100\sqrt{10}$ .

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