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Two particle are projected from an incli...

Two particle are projected from an incliend plane as shown. A is projected up the incline and `B` down the incline. If `R_(A)` and `R_(B)` are range of `A` and `B` respectively then `(R_(B))/(R_(A))` will be equal to :

A

`(3sqrt(3)+4)/(3sqrt(3)-4)`

B

`(3sqrt(3)-4)/(3sqrt(3)+4)`

C

`(3sqrt(3)+2)/(3sqrt(3)-2)`

D

`(4+sqrt(3))/(4-sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
Two particle ……………
`(R_(A))/(R_(B)) = (cos(theta-phi))/(cos(theta+phi)) = ((4)/(5)xx(sqrt(3))/(2)+(3)/(5)xx(1)/(2))/((4)/(5)xx(sqrt(3))/(2)-(3)/(5)xx(1)/(2))=(4sqrt(3)+3)/(4sqrt(3)-3)`
`= (4+sqrt(3))/(4-sqrt(3))`
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