Question

what happens to the period of a simple pendulum if its length is doubled? what if the mass that is suspended is doubled?

Answer 1

Time period is directly proportional to the length.... So if length is doubled the time period is doubled.

Time period does not depend on the mass of the object suspended ..... So it will have no effect on its value.

Answer 2

Concept introduction:

Time period is time taken by pendulum to complete one oscillation that is one to and one fro motion.

Explanation:

Given that, length and mass of pendulum is doubled.

We have to find, effect of change in length and mass of pendulum in time period.

According to the question,

Time period T of pendulum: $T=2\pi \sqrt{l/g}$

Therefore is we double length of pendulum the Time period will become $\sqrt{2}$ times. And if mass is doubled then there will be no change in time period as it is independent of mass.

Final Answer:

If length is doubled T become $\sqrt{2}$ times and doubling mass will not change T.

#SPJ2