A particle of mass π‘š is initially situated at the point 𝑃 inside a hemispherical surface of radius π‘Ÿ as shown in figure. A horizontal acceleration of magnitude π‘Ž0is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

Question : A particle of mass π‘š is initially situated at the point 𝑃 inside a hemispherical surface of radius π‘Ÿ as shown in figure. A horizontal acceleration of magnitude π‘Ž0is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is

(A) \sqrt{\dfrac{4r\sin \alpha }{a_{0}}}

(B) \sqrt{\dfrac{4r\tan \alpha }{a_{0}}}

(C) \sqrt{\dfrac{4r\cos \alpha }{a_{0}}}

(D) none of these

Answer : option (C)

Solution :

A particle of mass π‘š is initially situated at the point 𝑃 inside a hemispherical surface of radius π‘Ÿ as shown in figure. A horizontal acceleration of magnitude π‘Ž0is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
A particle of mass π‘š is initially situated at the point 𝑃 inside a hemispherical surface of radius π‘Ÿ as shown in figure. A horizontal acceleration of magnitude π‘Ž0is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
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