AP EAMCET · PHYSICS · Oscillations
A body of mass 4 kg attached to a spring of force constant \(64 \mathrm{~N} \mathrm{~m}^{-1}\) executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation is
- A \(\frac{\pi}{3} \mathrm{~s}\)
- B \(\frac{\pi}{2} \mathrm{~s}\)
- C \(\pi \mathrm{s}\)
- D \(\frac{3 \pi}{2} \mathrm{~s}\)
Answer & Solution
Correct Answer
(B) \(\frac{\pi}{2} \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
\(T = 2\pi\sqrt{\frac{m}{k}}\) \(T = 2\pi\sqrt{\frac{4 \mathrm{~kg}}{64 \mathrm{~N} \mathrm{~m}^{-1}}}\) \(T = 2\pi\sqrt{\frac{1}{16}} \mathrm{~s}\) \(T = 2\pi \times \frac{1}{4} \mathrm{~s}\) \(T = \frac{\pi}{2} \mathrm{~s}\)
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