A) \[2\pi \sqrt{\frac{3L}{g}}\]
B) \[\pi \sqrt{\left( \frac{3L}{g} \right)}\]
C) \[2\pi \sqrt{\left( \frac{3L}{2g} \right)}\]
D) \[2\pi \sqrt{\frac{2L}{3g}}\]
Correct Answer: C
Solution :
The effective acceleration in a lift descending with acceleration \[\frac{g}{3}\] is \[{{g}_{eff}}=g-\frac{g}{3}=\frac{2g}{3}\] \ \[T=2\pi \sqrt{\left( \frac{L}{{{g}_{eff}}} \right)}\]\[=2\pi \sqrt{\left( \frac{L}{2g/3} \right)}\]\[=2\pi \sqrt{\left( \frac{3L}{2g} \right)}\]
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