AIPMT MAINS2009Physics-Oscillations

AIPMT MAINS 2009 Physics Simple Harmonic 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 pendulum at x = a/2 will be:

A

πa/T

B

(3π²a)/T

C

(√3πa)/T

D

(√3π²a)/T

Correct Answer

Option C

Detailed Explanation

The speed of the pendulum at any point x is given by v = ω√(a² - x²), where ω = 2π/T. Substituting x = a/2 gives v = (√3πa)/T.

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