Three balls of same masses are projected with equal speeds at angle `15^(@), 45^(@), 75^(@)`, and their ranges are respectively `R_(1),R_(2)` and `R_(3)`, then

Options

A. `R_(1) gt R_(2) gt R_(3)`
B. `R_(1) lt R_(2) lt R_(3)`
C. `R_(1) = R_(2) = R_(3)`
D. `R_(1) = R_(3) lt R_(2)`

Answer

D

Explanation

At `45^(@)` range is maximum. At `15^(@)` and `75^(@)` ranges are equal as `R_(theta) = R_(90^(@) -theta)`