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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Physics
Chapter
Oscillations

BITSAT 2010 · Physics · Oscillations

A simple pendulum has time period 't'. Its time period in a lift...

A simple pendulum has time period 't'. Its time period in a lift which is moving upwards with acceleration 3ms−23 \mathrm{ ms}^{-2} is

Options

  1. At9.812.8t \sqrt{\frac{9.8}{12.8}}
  2. Bt12.89.8t \sqrt{\frac{12.8}{9.8}}
  3. Ct9.86.8\mathrm{t} \sqrt{\frac{9.8}{6.8}}
  4. Dt6.89.8\mathrm{t} \sqrt{\frac{6.8}{9.8}}

Correct answer

A. t9.812.8t \sqrt{\frac{9.8}{12.8}}

Step-by-step solution

t∝19.8,\mathrmt′∝112.8(∵\mathrmg′=9.8+3=12.8)∴\mathrmt′t=9.812.8⇒\mathrmt′=9.812.8t\mathrm{t} \propto \frac{1}{\sqrt{9.8}}, \mathrmt^{\prime} \propto \frac{1}{\sqrt{12.8}}\left(\because \mathrmg^{\prime}=9.8+3=12.8\right)\therefore \frac{\mathrmt^{\prime}}{\mathrm{t}}=\sqrt{\frac{9.8}{12.8}} \Rightarrow \mathrmt^{\prime}=\sqrt{\frac{9.8}{12.8}} \mathrm{t}
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