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The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is

Asked in NEET 2021 · Comparing planets

• (1) v
• (2) 2v
• (3) 3v
• (4) 4v

Step-by-step solution

Why the other options are wrong

• (1) comes from would need the radius to be unchanged; at fixed density the escape speed scales with the radius.
• (2) comes from takes the square root of the radius factor, but at fixed density the mass grows as R³, which cancels that root.
• (3) comes from uses a factor of 3, which comes out of neither the radius nor the mass scaling here.

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