Assertion : If radius of earth suddenly shrinks to half its present without changing its mass value, then the period of an earth's satellite will not change
Reason : Time period of a satellite does not upon the mass of earth.

Options

A. If both Assertin and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C. If Assertion is true but Reason is false
D. If Assertion is false but Reason is true

Answer

C

Explanation

`T=(2pi)/(sqrt(GM))r^(3//2)`. Time period does not depend upon the radius of earth (R) but it depends upon the mass of earth (M)