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JEE Main 201323 AprilOnline
Exam
JEE Main
Year
2013
Date
23 April
Mode
Online
Subject
Physics
Chapter
Oscillations

JEE Main 2013 · 23 April · Online · Physics · Oscillations

Bob of a simple pendulum of length l is made of iron. The pendulum...

Bob of a simple pendulum of length ll is made of iron. The pendulum is oscillating over a horizontal coil carrying direct current. If the time period of the pendulum is T\mathrm{T} then :

Options

  1. AT<2πlgT < 2 \pi \sqrt{\frac{l}{g}} and damping is smaller than in air alone.
  2. BT=2πlgT=2 \pi \sqrt{\frac{l}{g}} and damping is larger than in air alone.
  3. CT>2πlgT>2 \pi \sqrt{\frac{l}{g}} and damping is smaller than in air alone.
  4. DT<2πlgT < 2 \pi \sqrt{\frac{l}{g}} and damping is larger than in air alone.

Correct answer

D. T<2πlgT < 2 \pi \sqrt{\frac{l}{g}} and damping is larger than in air alone.

Step-by-step solution

When the pendulum is oscillating over a current carrying coil, and when the direction of oscillating pendulum bob is opposite to the direction of current. Its instantaneous acceleration increases. Hence time period T<2πℓg\mathrm{T} < 2 \pi \sqrt{\frac{\ell}{\mathrm{g}}} and damping is larger than in air alone due energy dissipation.
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