Question

Two simple pendulum A and B have equal length, but their bob weight 80gf and 120gf respectively. What would be the ratio of their time periods?​

Answer 1

Answer:

1:1

Explanation:

For time period(T) of a pendulum we have:

$\\\tt T = 2\pi \sqrt \dfrac{l}{g}$

where l = length of the pendulum and g= acceleration due to gravity.

which implies that the time period T doesn't depends upon the mass of the bob.

The reason why you won't see this is real life is air resistance. But if it was conducted within a vacuum chamber you won't see any difference in time period.

PS. The only mass g depends upon is of the planets. So unless these experiments are being conducted on 2 different planets with different masses the time period will be same.

Answer 2

Required Answer :-

1:1

This is because we know that

Time = 2 × π √(l/g)

Now

But the time period will not depend on the bob because the time period of the bob will not be affected by mass.

So,

Ratio = 2 × π √(l/g)/2 × π √(l/g)

Ratio = 1/1