A cylindrical hall has a horizontal smooth floor. A ball is projected along the floor from A point on the wall in a direction making an angle θ with the radius through the point the ball returns back

Question

A cylindrical hall has a horizontal smooth floor. A ball is projected along the floor from A point on the wall in a direction making an angle θ with the radius through the point the ball returns back to the initial point after two impacts with the wall. If the coefficient of restitution is e then tan^2θ will be

Prashant Kotian · Accepted Answer

Correct answer: D. tan  = usin tan eucos e      tan  = 1 tan e   tan  = 1 tan e       2 + 2 + 2 = 180°  +  = (90 – ) tan( + ) = cot   tan tan 1 1 tan tan tan        2 2 3 1 1 tan tan 1 e e 1 tan 1 tan e       AITS-CRT-I-PCM (Sol.)-JEE(Main)/18 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com 6  2 2 2 3 1 1 1 tan 1 tan e e e            2 2 3 1 1 1 tan 1 e e e           3 2 2 2 3 1 e tan 1 1 1 1 e e e e e                  

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