Verified Solution • 2025–26 Session moderate

QAIPMT-2009-Ph-2148: NEET 2009 Physics - Class 11 AIPMT-2009-Ph-2148 Solution: A simple pendulum performs simple harmonic motion about x = 0…

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

Multiple Choice Options

  • A πaT\frac{\pi a}{T}
  • B 3π2aT\frac{3\pi^2 a}{T}
  • C πa3T\frac{\pi a\sqrt{3}}{T}
  • D πa32T\frac{\pi a\sqrt{3}}{2T}

Step-by-Step Verified Solution

Speed v = _ a 2 _ x 2 , x = a 2 _ v = _ a 2 _ a 2 4 = _ 3 a 2 4 = 2 � T a 3 2 = � a 3 T

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