The length of a simple pendulum is made one-fourth. Its time period becomes — (1) four times (2) one-fourth (3) double (4) half

half

Reason — Time period of a simple pendulum is given by:

T = 2π \sqrt {l\over g }

Time period is directly proportional to the square root of the length of the pendulum.

In the case when length is made one-fourth, we see that —

T = 2π\sqrt {l\over 4 \times g }

T = {2\over 2} \pi \sqrt {l\over g }

T = \pi \sqrt {l\over g }

Hence, we can say that when the length is made four times, time period of a simple pendulum is reduced to half.