Three projecties A , B and C are projected at an angle of `30^(@)` , `60^(@)` respectively , If `R_(A)`, `R_(B)` and `R_(C)`are ranges of A, B and C respectively then (velocity of projection is same for A, B and C

Options

A. `R_(A)=R_(B)=R_(C)`
B. `R_(A)=R_(C)gtR_(B)`
C. `R_(A)ltR_(B)ltR_(C)`
D. `R_(A)=R_(C)ltR_(B)`

Answer

D

Explanation

Range is maximum for `45^(@)` `therefore B` has maximum range
Range is same for both `30^(@)and60^(@)` as they are complementary angles.
`therefore R_(A)=R_(C )ltR_(B)`