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Q.

A particle of mass m is initially situated at point P inside a hemispherical surface of radius r as shown in the figure. A horizontal acceleration of magnitude a0 is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, then time taken by the particle to touch the sphere gain is

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a

4rsinαa0

b

4rtanαa0

c

4rcosαa0

d

None of these

answer is C.

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Detailed Solution

s=2rcosα∴s=12a0t2 or 2rcosα=12a0t2∴ t=4rcosαa0
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A particle of mass m is initially situated at point P inside a hemispherical surface of radius r as shown in the figure. A horizontal acceleration of magnitude a0 is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, then time taken by the particle to touch the sphere gain is