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JIPMER 2006
Exam
JIPMER
Year
2006
Subject
Physics
Chapter
Oscillations

JIPMER 2006 · Physics · Oscillations

If the length of a pendulum is made 9 times and mass of the bob is...

If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period becomes :

Options

  1. A3T3 T
  2. B3/2T3 / 2 T
  3. C4T4 T
  4. D2T2 T

Correct answer

A. 3T3 T

Step-by-step solution

Time period T=2πlgT=2 \pi \sqrt{\frac{l}{g}} i.e., time period does not depend on the mass of the bob. ∴T∝lT1T2=l1l2TT2=l9l∴T2=3T\begin{aligned} \therefore & & T & \propto \sqrt{l} \\ & & \frac{T_1}{T_2} & =\sqrt{\frac{l_1}{l_2}} \\ & & \frac{T}{T_2} & =\sqrt{\frac{l}{9 l}} \\ & \therefore & T_2 & =3 T\end{aligned}
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