A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and…

Physics · JEE Main · NTA ExamsOscillations and Waves

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at \(x=\frac{a}{2}\) is \(\frac{\pi a \sqrt{n}}{T}\), find the value of n
  1. \(\frac{\pi \mathrm{a} \sqrt{3}}{2 \mathrm{~T}}\)
  2. \(\frac{\pi \mathrm{a}}{\mathrm{~T}}\)
  3. \(\frac{3 \pi^{2} \mathrm{a}}{\mathrm{~T}}\)
  4. \(\frac{\pi a \sqrt{3}}{T}\)

Answer

(D) a 3 T

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