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The mass of a planet is 1/(10)th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

Asked in NEET 2024 · Comparing planets

• (1) 19.6 m s⁻²
• (2) 9.8 m s⁻²
• (3) 4.9 m s⁻²
• (4) 3.92 m s⁻²

Step-by-step solution

Why the other options are wrong

• (1) comes from doubles g, using the radius factor 4 without the mass factor 1/(10).
• (2) comes from leaves g unchanged, as if the two factors cancelled; 4/(10) is not 1.
• (3) comes from halves g, using a radius factor of 2 rather than its square.

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