Q. Acceleration due to gravity on the surface of earth is $g$. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of the earth is ...... g.

Numerical Question

This is a numerical-answer question. The correct answer is shown below.

Explanation

[Solution by Dr. Abubacker] $g=\frac{GM}{R^2}\propto\frac1{R^2}$. With $R\to\frac R3$, $g'=9g$. Answer: 9.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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