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Is it true that the acceleration value due to gravity is less on the top of the mountains than on the plains?

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True

False

answer is A.

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Detailed Solution

The above statement is true.
The value of acceleration due to gravity is less on the top of the mountains than on the plains.
We know acceleration due to gravity at the surface of a planet is given by the formula,

g = \frac{G \times M}{R^{2}}

It depends on the Universal Gravitation Constant (

G

), the mass of the planet (

M

), and the radius of the planet (

R

).
At a certain height

h

from the surface of the planet,

g = \frac{G \times M}{{(R + h)}^{2}}

Acceleration due to the earth’s gravity has a constant value of

9.8 m / s^{2}

on the earth’s surface. But it varies with the height. Its value decreases as we go up from the earth’s surface.

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