Verified Solution • 2025–26 Session moderate

QNEET-2023-Ph-243: NEET 2023 Physics - Class 11 NEET-2023-Ph-243 Solution: The x-t graph of a particle performing simple harmonic motion…

The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t=2 s is: −π28 ms−2-\frac{\pi^2}{8}\ \text{ms}^{-2} π216 ms−2\frac{\pi^2}{16}\ \text{ms}^{-2} −π216 ms−2-\frac{\pi^2}{16}\ \text{ms}^{-2} π28 ms−2\frac{\pi^2}{8}\ \text{ms}^{-2}

Multiple Choice Options

  • A −π28 ms−2-\frac{\pi^{2}}{8} \mathrm{~ms}^{-2} _ 8 � 2 _   ms _ 2
  • B π216 ms−2\frac{\pi^{2}}{16} \mathrm{~ms}^{-2} 16 � 2 _   ms _ 2
  • C −π216 ms−2-\frac{\pi^{2}}{16} \mathrm{~ms}^{-2} _ 16 � 2 _   ms _ 2
  • D π28 ms−2\frac{\pi^{2}}{8} \mathrm{~ms}^{-2} 8 � 2 _   ms _ 2

Step-by-Step Verified Solution

x = A sin _ ( _ t ) dx dt = v = A _ cos _ ( _ t ) dv dt = a = _ _ 2   A sin _ ( _ t ) a = _ ( 2 � 8 ) 2 _ 1 sin _ ( 2 � 8 _ 2 ) _ a = _ � 2 16 _ sin _ ( � 2 ) _ a = _ � 2 16   m / s 2

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