JEE Mains · Physics · STD 11 - 13. oscillations
The time period of simple harmonic motion of mass \(\mathrm{M}\) in the given figure is \(\pi \sqrt{\frac{\alpha M}{5 K}}\), where the value of \(\alpha\) is _______.
- A \(12\)
- B \(15\)
- C \(30\)
- D \(35\)
Answer & Solution
Correct Answer
(A) \(12\)
Step-by-step Solution
Detailed explanation
\(\mathrm{k}_{\mathrm{eq}}=\frac{2 \mathrm{k} \cdot \mathrm{k}}{3 \mathrm{k}}+\mathrm{k}=\frac{5 \mathrm{k}}{3}\) Angular frequency of oscillation \((\omega)=\sqrt{\frac{\mathrm{k}_{\mathrm{eq}}}{\mathrm{m}}}\) \((\omega)=\sqrt{\frac{5 \mathrm{k}}{3 \mathrm{~m}}}\) Period of…
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