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A particle moving horizontally with a velocity u strikes a fixed frictionless sphere at a height R/2 above the center of sphere. After striking the sphere, velocity of particle changes to vertically upward .If R be the radius of sphere, the maximum height attained by the particle with respect to center of sphere is

a
u26g+R2
b
u22g+R2
c
u23g+R2
d
u24g+R2

detailed solution

Correct option is A

Since the force of contact will be only normal force, ∴The velocity of the particle along the tangent will be conserved during the collisionUsin⁡30=Vsin⁡60V=U3Maximum height from centre=R2+V22g=R2+U26g

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