A) \[2\,R\]
B) \[4\,R\]
C) \[\frac{1}{4}R\]
D) \[\frac{1}{2}R\]
Correct Answer: D
Solution :
Key Idea: Acceleration due to gravity is the acceleration in vertically downward direction acting on every object on earth. Its value is given by Newton's second law which is |
The acceleration due to gravity on an object of mass m |
but from Newton's law of gravitation |
where M is the mass of the earth and R the radius of earth. |
Given: |
Also, |
or |
or |
or |
or |
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