Question

Two pendulums P and Q have equal lengths but their bobs weigh 10gf and 20gf respectively. (i) Compare their time periods. (ii) Give a reason for your answer

Answer 1

Given,

Weight of pendulum P = 10 gf

Weight of pendulum Q = 20 gf

As we know that time period of a simple pendulum does not depend on the mass(since the place of pendulums does not change hence the acceleration due to gravity will not change too, so their weight will be related in same proportion as their masses) of the bob but it depends on acceleration due to gravity and the effective length of the bob of simple pendulum.

So,

The ratio will be 1 : 1 as there will be no change in their time periods.

thx

Brain liest plz

Answer 2

Both pendulums have same time period.

Explanation:

It is given that,

Weight of pendulum 1, $W_1=10\ gf$

Weight of pendulum 2, $W_2=20\ gf$

Solution,

We know that the time period of the pendulum is given by the below formula as :

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

It is clear that the time period of the simple pendulum depends only on the length of the pendulum and the acceleration due to gravity. The time period of both the pendulums will be same as they have same lengths.

Learn more,

Simple pendulum

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