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BITSAT 2014
Exam
BITSAT
Year
2014
Subject
Physics
Chapter
Oscillations

BITSAT 2014 · Physics · Oscillations

A tunnel has been dug through the centre of the earth and a ball is...

A tunnel has been dug through the centre of the earth and a ball is released in it. It executes S.H.M. with time period

Options

  1. A42 minutes
  2. B1 day
  3. C1 hour
  4. D84.6 minutes

Correct answer

D. 84.6 minutes

Step-by-step solution

T=2πRg=2π64×1069.8=2×227×8×1037×2=2×22×8×100049×60min⁡=84.6min\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{R}}{\mathrm{g}}}=2 \pi \sqrt{\frac{64 \times 10^{6}}{9.8}}=2 \times \frac{22}{7} \times \frac{8 \times 10^{3}}{7 \times \sqrt{2}}=\frac{\sqrt{2} \times 22 \times 8 \times 1000}{49 \times 60} \min =84.6 \mathrm{ min}
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