Time period of is simple pendulum of length `L` is `T_(1)` and the point time peirod of a uniform rod of the same length `L` pivotal about one end and oscillating in vertical plane is `T_(2)`. Amplitude of oscillation in both the cased is small. The `T_(1)//T_(2)` is:

Options

A. `sqrt("^4//_(3))`
B. `1`
C. `sqrt("^3//_(2))`
D. `sqrt("^2//_(3))`

Answer

C

Explanation

`T_(1) = 2pi sqrt(.^(l)//_(g)) , T_(2) = 2pi sqrt((I)/(Mgd))`
`I = (Ml^(2))/(3), d = (l)/(2)`