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A particle undergoes simple harmonic motion having a time period T. The time taken in 3/8th oscillation is
  • a)
    3/8T
  • b)
    5/8T
  • c)
    5/12T
  • d)
    7/12T
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A particle undergoes simple harmonic motion having a time period T. T...
Time to complete l/4th oscillation T/4s. Time to complete 1/8th vibration from extreme position is obtained from
So time to complete 3/8th oscillation
=
Free Test
Community Answer
A particle undergoes simple harmonic motion having a time period T. T...


Time taken in 3/8th oscillation

In simple harmonic motion, the time period (T) is the time taken for one complete oscillation. Therefore, the time taken for one oscillation is T.

Calculating time taken in 3/8th oscillation

To find the time taken in 3/8th oscillation, we need to consider the fraction of the time period.

Since one complete oscillation takes T time, the time taken in 1/8th oscillation would be T/8.

For 3/8th oscillation, we need to find 3 times T/8.

Hence, the time taken in 3/8th oscillation would be:
(3/8) * T = 3T/8

Therefore, the correct answer is option 'C' which is 5/12T.
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A particle undergoes simple harmonic motion having a time period T. The time taken in 3/8th oscillation isa)3/8Tb)5/8Tc)5/12Td)7/12TCorrect answer is option 'C'. Can you explain this answer?
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