If in a simple pendulum experiment the length of the inextensible string is increased by a factor of four, its period is increased by a factor of?
A
4
B
\(\frac{\pi}{2}\)
C
\(\frac{1}{4}\)
D
2
Verified Correct Answer: D.
Physical Principles & Numerical Solution
In a simple pendulum, T = 2\(\pi\)\(\sqrt{\frac{L}{g}}\)
\(\frac{T_1}{T_2} = \sqrt{\frac{L_1}{L_2}}\) but L\(_2\) = 4L\(_1\)
\(\frac{T_1}{T_2} = \sqrt{\frac{L_1}{4L_1}}\)
T\(_2\) = 2T\(_1\)
Source: Myschool Past Questions Archive (Record #56893)