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A small ball is given some velocity at p...

A small ball is given some velocity at point A towards right so that it moves on the semicircular track and does not leave contact up to the highest point B. After leaving the highest point B, it falls at the top of a building of height R and width `x(xlt lt 2R)`. (All the surfaces are frictionless).

The velocity given to the ball at point A so that it may hit the top of the building is

A

`60^@`

B

`45^@`

C

`30^@`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`V_(Y) = gt = gsqrt((2R)/(g)) = sqrt(2gR), V_(X) = sqrt(2gR)`
`tan theta = (V_Y)/(V_X) = 1 " "implies " "theta = 45^@`
Ball will rebound at same angle as collision is elastic.
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