Assertion : The time period of a simple pendulum of infinite length is infinite
Reason:The time period is a simple pendulum is directly propotional to the square root of length

Options

A. If both assertion and reason are true and the reasopn is correct explanation of the assertion
B. If both assertion and reason are true and but not the correct explanation of assertion
C. If assertion is true but the reason is false
D. If both assertion and reason are false

Answer

B

Explanation

If length of the pendulum is large `g` no lorge remain vertical but will be direction toward the certen of the earth and expression of the time period is given by
`T = 2 pi sqrt((1)/(g((1)/(l) + (1)/(g))))`
Here `R` is the radius of earth
`if 1 rarr oo, (1)/(l) rarr 0`
`and T = 2pi sqrt((R)/(g)) = 84.6 min`
In genren time period of a simple pendulum
`T = 2pi sqrt((1)/(g))`
`T = sqrt(l)`