Two projectiles P and Q are fired from the same point with same velocity at angle `30^(@)` and `60^(@)` . The horizontal range of :

Options

A. P is equal to Q
B. P is less than Q
C. P is greater than Q
D. none of the above

Answer

A

Explanation

`R = (u^(2))/(g) sin theta`
`R_(P) = (u^(2))/(g) sin 60^(@)`
`R_(Q) = (u^(2))/(g) sin 120^(@)`
`= (u^(2))/(g) sin (180 - 60)`
`R_(Q) = (u^(2))/(g) sin 60^(@)`
`:. |R_(P)| = |R_(Q)|`