MHT CET · Physics · Oscillations
' P ' and ' Q ' are fixed points in same plane and mass ' m ' is tied by string as shown in figure. If the mass is displaced slightly out of this plane and released, it will oscillate with time period \((\mathrm{PQ}=2 \mathrm{~d}, \mathrm{PR}=\mathrm{QR}=\mathrm{L})\) (g=gravitational acceleration)
- A \(2 \pi \sqrt{\frac{L}{g}}\)
- B \(2 \pi \sqrt{\frac{L^2}{g}}\)
- C \(2 \pi \sqrt{\frac{\left(L^2-d^2\right)^{1 / 2}}{g}}\)
- D \(2 \pi \sqrt{\frac{\left(L^2+d^2\right)^{1 / 2}}{g}}\)
Answer & Solution
Correct Answer
(C) \(2 \pi \sqrt{\frac{\left(L^2-d^2\right)^{1 / 2}}{g}}\)
Step-by-step Solution
Detailed explanation
\(h = \sqrt{L^2 - d^2}\) \(m \ddot{\delta} = -\frac{2T}{L}\delta\)
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