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JEE Advanced 2023 Paper 1 Solutions

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Question : 1

Total: 51

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3h from the ground, as shown in the figure. A spherical ball of mass m is released on the slide from rest at a height h from the top of the terrace. The ball leaves the slide with a velocity

and falls on the ground at a distance d from the building making an angle θ with the horizontal. It bounces off with a velocity

and reaches a maximum height h1. The acceleration due to gravity is g and the coefficient of restitution of the ground is 1∕√3. Which of the following statement(s) is(are) correct?

→
u
0=√2gh
^
x
→
v
=√2gh(
^
x
−
^
z
)
θ=60∘
d∕h1=2√3

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