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What will be the phase difference between bigger pendulum (with time period 5T/4 )and smaller pendulum (with time period T) after one oscillation of bigger pendulum?
  • a)
    π/4
  • b)
    π/2
  • c)
    π/3
  • d)
    π
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What will be the phase difference between bigger pendulum (with time p...
By the time bigger pendulum completes one vibration, the smaller pendulum would have completed 5/4 vibrations. That is smaller pendulum will be ahead by 1/4 vibration in phase. 1/4 vibration means λ/4 path or π/2 radians.
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What will be the phase difference between bigger pendulum (with time p...
Since, bigger pendulum completes one oscillation, it's phase is 2 pi………….(1)

The angular frequency of smaller pendulum is

w=2 pi/T. Therefore , it's phase at time 5T/4 is (according to phase equals to wt)

w 5T/4=( 2 pi/T)(5 T/4)=2.5 pi…………(2)

From (1) and (2) the difference in phase is ( pi/2)
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What will be the phase difference between bigger pendulum (with time p...
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