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AIPMT PRELIMS2009Physics-Simple Harmonic Motion

AIPMT PRELIMS 2009 Physics Pendulum Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be:

A

πa/T

B

3π²a/T

C

πa√3/T

D

πa√3/2T

Correct Answer

Option C

Detailed Explanation

The speed of the pendulum at x = a/2 can be calculated using the formula v = ω√(a² - x²). Substituting x = a/2 gives v = πa√3/T.

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