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Impulse and Momentum question

2023 · Shift 1 · Q35
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Impulse and Momentum question

2023 · Shift 1 · Q35

JEE AdvancedPhysicsImpulse and MomentumMultiple correct+4 / −2
A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3h3 h3h from the ground, as shown in the figure. A spherical ball of mass mmm is released on the slide from rest at a height hhh from the top of the terrace. The ball leaves the slide with a velocity u⃗0=u0x^\vec{u}_0=u_0 \hat{x}u0​=u0​x^ and falls on the ground at a distance ddd from the building making an angle θ\thetaθ with the horizontal. It bounces off with a velocity v⃗\vec{v}v and reaches a maximum height h1h_1h1​. The acceleration due to gravity is ggg and the coefficient of restitution of the ground is 1/31 / \sqrt{3}1/3​. Which of the following statement(s) is(are) correct? JEE Advanced 2023 Paper 1 Online Physics - Impulse & Momentum Question 3 English
  1. A
    u→0=2ghx^\overrightarrow{\mathrm{u}}_0=\sqrt{2 g h} \hat{x}u0​=2gh​x^
  2. B
    v⃗=2gh(x^−z^)\vec{v}=\sqrt{2 g h}(\hat{x}-\hat{z})v=2gh​(x^−z^)
  3. C
    θ=60∘\theta=60^{\circ}θ=60∘
  4. D
    d/h1=23d / h_1=2 \sqrt{3}d/h1​=23​
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