Rotational Motion Question 42

Question: A solid sphere and a hollow sphere are thrown horizontally from a cliff with equal velocities, respectively. Then which sphere reaches first on earth?

[AIPMT 2000]

Options:

A) Solid sphere

B) Hollow sphere

C) Both sphere simultaneously

D) We cannot say because masses of spheres are not given

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Answer:

Correct Answer: C

Solution:

  • Both spheres reach the ground due to vertical component of velocity.

As initial component of velocity of both spheres is zero, therefore both will reach the earth simultaneously.

The time taken being given by $ h=u _{y}t+\frac{1}{2}gt^{2}=0+\frac{1}{2}gt^{2} $

$ \Rightarrow $ $ t=\sqrt{\frac{2h}{g}} $



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