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BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Physics
Chapter
Oscillations

BITSAT 2009 · Physics · Oscillations

A pendulum bob carries a +ve charge +q. A positive charge +q is...

A pendulum bob carries a +ve charge +q.A+\mathrm{q}. \mathrm{A} positive charge +q+\mathrm{q} is held at the point of support. Then the time period of the bob is [where, L=\mathrm{L}= length of pendulum, geff=\mathrm{g}_{\mathrm{eff}}= effective value of g]\mathrm{g}]

Options

  1. Agreater than 2πL/geff 2 \pi \sqrt{\mathrm{L} / \mathrm{g}_{\text{eff }}}
  2. Bless than 2πL/geff 2 \pi \sqrt{\mathrm{L} / \mathrm{g}_{\text{eff }}}
  3. Cequal to 2πL/geff 2 \pi \sqrt{\mathrm{L} / \mathrm{g}_{\text{eff }}}
  4. Dequal to 2π2L/geff 2 \pi \sqrt{2 \mathrm{ L} / \mathrm{g}_{\text{eff }}}

Correct answer

A. greater than 2πL/geff 2 \pi \sqrt{\mathrm{L} / \mathrm{g}_{\text{eff }}}

Step-by-step solution

Effective g′=g−kq2d2m,T∝1geff g^{\prime}=g-\frac{k q^{2}}{d^{2} m}, \quad T \propto \frac{1}{\sqrt{g_{\text{eff }}}}
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