1.

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

Answer»

Answer:

Given:

Length of Pendulum P and Q is same.

Weight of the Bob is given as follows:

  • P = 10 gf
  • Q = 20 gf

To find:

Ratio of time periods

Concept:

Time period of pendulum is given as :

t = 2\pi \sqrt{ \dfrac{<klux>L</klux>}{g} }

As per the Equation, for a CONSTANT gravitational ACCELERATION, the time period is only DEPENDENT on length of Pendulum.

Calculation:

Let l1 = l2 = l (as per the QUESTION)

Time period for Pendulum P

\therefore \: t1 = 2\pi \sqrt{ \dfrac{l1}{g} } \\ = > t1 = 2\pi \sqrt{ \dfrac{l}{g} }

Time period for Pendulum Q:

\therefore \: t2 = 2\pi \sqrt{ \dfrac{l2}{g} } \\ = > t2 = 2\pi \sqrt{ \dfrac{l}{g} }

So the time period of both the pendulum is same.

\boxed{ \red{ \therefore \: t1 = t2}}


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