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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Oscillations

NEET 2024 · Physics · Oscillations

If x=5 (π t+(π)/(3)) m represents the motion of a particle...

If x=5sin⁡(πt+π3)mx=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m} represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are

Options

  1. A5 m,2 s5 \mathrm{~m}, 2 \mathrm{~s}
  2. B5 cm,1 s5 \mathrm{~cm}, 1 \mathrm{~s}
  3. C5 m,1 s5 \mathrm{~m}, 1 \mathrm{~s}
  4. D5 cm,2 s5 \mathrm{~cm}, 2 \mathrm{~s}

Correct answer

A. 5 m,2 s5 \mathrm{~m}, 2 \mathrm{~s}

Step-by-step solution

∴x=5sin⁡(πt+π3)m Amplitude =5mω=π=2πTT=2ππ=2s\begin{aligned} & \therefore x=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m} \\ & \text{ Amplitude }=5 \mathrm{ m} \\ & \omega=\pi=\frac{2 \pi}{T} \\ & T=\frac{2 \pi}{\pi}=2 \mathrm{ s}\end{aligned}
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