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Time period of a simple pendulum of length l is T1 and time period of a uniform rod of the same length l pivoted about one end and oscillating in a vertical plane is T2. Amplitude of oscillations in both the cases is small. Then T1/T2 is
  • a)
  • b)
    1
  • c)
  • d)
    3 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Time period of a simple pendulum of length l is T1 and time period of ...
For T1 we have to use formula 

T 1 = √L/g as it is a simple pendulum.
T 2 = √I/mgy as it is compound pendulum.

T 1 = √L/g

T 2 = √mL^2/3mgL
= √2L/3

T 1 / T 2 = √L/g ÷ √2L/3

= √3/2....
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Time period of a simple pendulum of length l is T1 and time period of a uniform rod of the same length l pivoted about one end and oscillating in a vertical plane is T2. Amplitude of oscillations in both the cases is small. Then T1/T2 isa)b)1c)d)3 2Correct answer is option 'D'. Can you explain this answer?
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