The average density of the earth in terms of $g, G$ and $R$ is:

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4 π G R 3 g

3 g 4 π G R

3 g 4 π G R 2

4 π G R 2 3 g

answer is B.

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Detailed Solution

Concept: At sea level, gravity acceleration is the acceleration of a body falling freely under the influence of the Earth's gravitational force. It is roughly equal to 9.8m/s2. Its measured value changes slightly with latitude (because of earth's rotation) and longitude (due to earth's non-spherical form) , as well as depth and height from the earth's surface.
The gravitational constant

is given as:

(Where

is the volume of the earth ) Question Image

So, the average density of the earth in terms of g, G and

Hence, the correct option is 2.

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