`R` is the range on a horizontal plane for a shot with the same velocity at two different angles of projection. If ` h` and `h'` be the greatest heights attained corresponding to these angles of projection, what is ` R^2` equal to ?

Options

A. hh'
B. 9hh'
C. 16hh'
D. 25hh'

Answer

c

Explanation

`R=(u^(2))/(g)rArru=sqrt(Rg)`
`(R)/(2)=(u^(2)sin 2theta)/(g)`
`sin 2theta=(1)/(2)`
`2theta=(pi)/(6)`
`theta=(pi)/(12)`