AP EAMCET · PHYSICS · Oscillations
In a spring block system as shown in figure, if the spring constant \(\mathrm{K}=9 \pi^2 \mathrm{Nm}^{-1}\), then the time period of oscillation is
- A 1s
- B 3.14s
- C 1.414s
- D 0.5s
Answer & Solution
Correct Answer
(C) 1.414s
Step-by-step Solution
Detailed explanation
\(\mathrm{K}_{\mathrm{e}}=\frac{(2 \mathrm{k})(\mathrm{k})}{2 \mathrm{k}+\mathrm{k}}=\frac{2 \mathrm{k}}{3}\) \(\therefore\) Time period, \(T=2 \pi \sqrt{\frac{\mathrm{~m}}{K_e}}=2 \pi \sqrt{\frac{3}{\frac{2 \times 9 \pi^2}{3}}}=\frac{6}{\sqrt{2 \times 9 \pi}}\)…
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