Question

Question #3aa50

Answer 1

`l=981" cm"`

Explanation:

The period of oscillation of a simple pendulum is obtained from the formula : `T=2*pi*sqrt(l/g)`

And since `T=1/f`

We can write `1/f=2*pi*sqrt(l/g)`

`=>(1/f)^2=(2*pi*sqrt(l/g))^2`

`=>(1/f^2)=4*pi^2*l/g`

`=>l=(g/f^2)/(4*pi^2)=((981" cm s"^-2)/(1" s"^-1)^2)/(4*pi^2)=color(blue)(24.851" cm")`