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TS EAMCET · Physics · Oscillations

A uniform rod of length \(1.8 \mathrm{~m}\) suspended by an end is made to undergo small oscillations. Find the length of the simple pendulum having the mass and time period equal to that of the rod.

  1. A \(3.6 \mathrm{~m}\)
  2. B \(1.2 \mathrm{~m}\)
  3. C \(2.4 \mathrm{~m}\)
  4. D \(4.2 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.2 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given, length of the rod, \(l=1.8 \mathrm{~m}\) Time period of the oscillation of uniform rod with length l piwoted at one end is given by \(T=2 \pi \sqrt{\frac{I}{m g R}}\) where, \(R\) is the distance of the point of pivot to the centre of the gravity and \(I\) is moment of…
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