A wedge of height $H$ (fixed) and inclination $\alpha $ (variable) is moving on a smooth horizontal surface with constant acceleration $g\ m/s^2$ . A small block is placed at bottom of incline as shown in figure, slips on the smooth surface of incline . Choose $CORRECT$ statement about time taken by block to reach the top of incline
A wedge of height $H$ (fixed) and inclination $\alpha $ (variable) is moving on a smooth horizontal surface with constant acceleration $g\ m/s^2$ . A small block is placed at bottom of incline as shown in figure, slips on the smooth surface of incline . Choose $CORRECT$ statement about time taken by block to reach the top of incline
- A
Time taken increases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
- B
Time taken first increases then decreases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
- C
Time taken first decreases then increases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
- D
Time taken decreases with $\alpha $ for $0 < \alpha < \frac{\pi }{4}$
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