JEE Advanced Model Paper 17 with solutions for online practice

As the figure shows, a small object is dropped to a fixed, frictionless slope of angle ofelevation α = 30° from a height h. The time of the fall is t1 . After a totally inelastic collisionthe object slides down the slope. It covers the same distance s =h on the slope during thetime t2 . If the ratio

t1

t2

equals (

1+√x

2

) find x.