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 a_o is suddenly produced acceleration on the particle in the horizontal direction. If gravitational acceleration is neglected, then time taken by the particle to touch the sphere again is

A particle of mass m is initially situated at point P inside a hemisph

1.	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 a_o is suddenly produced acceleration on the particle in the horizontal direction. If gravitational acceleration is neglected, then time taken by the particle to touch the sphere again is
Answer» `sqrt (4r SIN alpha/a_o)` `sqrt (4r TAN alpha/a_o)` `sqrt (4r COS alpha/a_o)` None of these Solution :s = 2R cos `alpha` since= s = `1/2 a_0t^(2)` or `2r cos alpha = 1/2 a_(0)t^(2)` `theefore`= `sqrt(4r cos alpha/a_0)`