IIT JEE Entrance Exam> minimum-length-of-the-plank...
A particle of mass m is projected at an angle of 60o with a velocity of 20 m/s relative to the ground from a plank of same mass m which is placed on a smooth surface initially plank was at rest. The minimum length of the plank for which the ball will fall on the plank itself is
(a) 40√3
(b) 20√3m
(c) 10√3m
(d) 60√3m
1 Answers(a) Since the mass is same therefore the length of the plank should be twice the range
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Let S={x:x belongs to R(√3+√2)^(x^2-4) - (√3-√2)^(x^2-4)=10}. Then n(S) is equal to-
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