Question

If the length of a simple pendulum is increased by 2%, then the time period ___________

(a) Increases by 1%

(b) Decreases by 1%

(c) Increases by 2%

(d) Decreases by 2%

This question was posed to me in my homework.

The origin of the question is Wave Motion topic in chapter Waves of Engineering Physics I

Answer 1

Correct option is (a) Increases by 1%

For explanation I would say: T∝√l

Percentage increase in time period,

∆T/T×100=1/2×∆l/l×100

=1/2×2%=1%.