The time period of simple pendulum will get doubled, if its length is increased by four times. Justify.

Explanation

The time period of simple pendulum is given by
`T=2pisqrt(l/g)` . . . (i)
when the length of pendulum is increased by 4 times then, `l.=4l`.
Now `T.=2pisqrt((l.)/(g))=2pisqrt((4l)/(g))" or "T.=2xx2pisqrt((l)/(g))`.
or `T.=2T" "` [Using equation (i)]
That is time period of simple pendulum gets doubled when its length is increased by four times.