A particle slides down a smooth inclined plane of elevation fixed in an elevator going with an a...

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A particle slides down a smooth inclined plane of elevation fixed in an elevator going with an acceleration \( a \) as shown in the figure. The base of the incline has a length \( L \).
The time taken by the particle to reach the bottom:
(A) \( t=\left(\frac{2 L}{g \sin \theta}\right)^{1 / 2} \)
(B) \( \left(\frac{2 L}{\left(g+a_{0}\right) \sin \theta \cos \theta}\right)^{1 / 2} \)
(C) \( \left(\frac{2 L}{a_{0} \sin \theta}\right)^{1 / 2} \)
(D) \( \left(\frac{2 L}{\left(g+a_{0}\right) \sin \theta}\right)^{1 / 2} \)
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