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# (a)    Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.(b)    Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.(c)    Statement-1 is True, Statement-2 is False.(d)    Statement-1 is False, Statement-2 is True.Statement-1: For projection angle tan–1(4), the horizontal range and the maximum height of a projectile are equal. Statement-2: The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to gravity.

Simran Bhatia
348 Points
7 years ago

(b)

The horizontal range of projectile, R = (u^2  sin?2x)/g

Rmax = u^2/g

The maximum height attained by projectile

H = (u^2 sin^2 x)/2g

If H = R (u^2 sin^2 x)/2g=(u^2 sin 2x)/g

(sin^2 x)/2 = 2 sinx cosx =>tanx = 4

x= tan–1 (4)