Two balls are thrown from an inclined plane at angle of projection `alpha` with the plane one up the incline plane and other down the incline as shown in the figure. If `R_1` & `R_2` be their respective ranges, then:

Options

A. `h_1=h_2`
B. `R_2-R_1=T_1^2`
C. `R_2-R_1=gsinthetaT_2^2`
D. `R_2-R_1=gsinthetaT_1^2`

Answer

A, C, D

Explanation

`R_(1)=(24^(2)sin alphacos(alpha+theta))/(g cos^(2)^(2)theta))`
`R_(2)=(24^(2)sin alphacos(alpha-theta))/(g cos^(2)^(2)theta))`
`R_(1)-R_(2)=g sin thetaT_(2)^(2)`
`R_(1)-R_(2)=g sin thetaT_(1)^(2)`