Two particles P & Q are projected simultaneously from a point O on a level ground in the same vertical plane with the same speed in directions making angle of `30^(@)` and `60^(@)` respectively with the horizontal.

Options

A. Both reach the ground simultaneously
B. P reaches the ground earlier than Q
C. Both strike the same point on the level ground
D. The maximum height attained by Q is thrice that attained by P

Answer

B, C, D

Explanation

Range `=(u^(2) sin 2theta)/(g)`
For `theta` & `(90-theta)` angles, rang will same so for `30^(@)` & `(90-30^(@))equiv60^(@)`, projections both strike at the same point. For time of flight, vertical components are responsible
`h_(1)/h_(2)=(u^(2) sin^(2) theta_(1))/(u^(2) sin^(2) theta_(2))=(sin^(2) 30)/(sin^(2) 60)=1/3`