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A smooth inclined plane of length \( L \) having inclination \( \theta \) with the horizontal is inside a lift which is moving down with a retardation \( a \). The time taken by a body to slide down the inclined plane from rest will be
(a) \( \sqrt{\frac{2 L}{(g+a) \sin \theta}} \)
(b) \( \sqrt{\frac{2 L}{(g-a) \sin \theta}} \)
(c) \( \sqrt{\frac{2 L}{a \sin \theta}} \)
(d) \( \sqrt{\frac{2 L}{g \sin \theta}} \)
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