Assertion `:` If the length of the simple pendulum is equal to the radius of the earth, the period of the pendulum is `T=2pisqrt(R//g)`
Reason `:` Length of this pendulum is equal to radius of earth.

Options

A. both, Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B. both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
C. Assertion is flase but the Reason is true.
D. both,Assertion and Reason are false.

Answer

C

Explanation

Here, Assertion is wrong, because for a pendulum of large length `L1`, the time period is given by
`T=2pisqrt((R)/((1+R_(e)//R_(e))g)`
where`R_(e)=` radius of earth.
When, `L=R_(e)`,
then `T=2pisqrt((R_(e))/((1+R_(e)//R_(e))g))=2pisqrt((R_(e))/(2g))`