Question

if the percentage increase in the length of a simple pendulum is 1% then find the percentage increase in its time period

Answer 1

Answer:

Explanation:As we have learnt,

Simple Pendulum -

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

l\rightarrow length\, of\, pendulum

g\rightarrow acc^{n}\, due\, to\, gravity.

- wherein

T = 2\pi\sqrt{\frac{l}{g}}\;\; \therefore T \propto \sqrt l

Percentage increment in T = \frac{1}2 (percentage increment in l) = 0.5%.

Option 1)

Increase by 1%