Physics Two Dimensional Motion Question 71

Question: A stone is projected from a horizontal plane. It attains maximum height ‘$ H $ ’ and strikes a stationary smooth wall and falls on the ground vertically below the maximum height. Assuming the collision to be elastic the height of the point on the wall where ball will strike is

Options:

A) $ \frac{H}{2} $ B) $ \frac{H}{4} $ C) $ \frac{3H}{4} $ D) None of these

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Answer:

Correct Answer: C

Solution:

[c] $ H=\frac{1}{2}g{{(2t)}^{2}}=2gt^{2} $ …(1) $ h=H-\frac{1}{2}gt^{2} $ …(2) Solving eqns (1) and (2), we get $ h=H-\frac{H}{4}=\frac{3H}{4} $