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Gravitation question bank (Physics)

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Q1.

The height in terms of radius of the earth $(R)$, at which the acceleration due to gravity becomes $\dfrac{g}{9}$, where $g$ is acceleration due to gravity on earth's surface, is ______.

(A)

$\sqrt{3}R$

(B)

$2\sqrt{2}R$

(C)

$2R$

(D)

$\dfrac{4}{9}R$

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Q2.

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant.
Reason (R) : For a central force field the angular momentum is a constant.
In the light of the above statements, choose the most appropriate answer from the options given below :

(A)

Both $(\mathrm{A})$ and $(\mathrm{R})$ are correct and $(\mathrm{R})$ is the correct explanation of $\mathrm{( A)}$

(B)

Both $(\mathrm{A})$ and $(\mathrm{R})$ are correct but $(\mathrm{R})$ is not the correct explanation of (A)

(C)

(A) is correct but $(\mathrm{R})$ is not correct

(D)

(A) is not correct but (R) is correct

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