An inclined plane makes an angle 45° above the horizontal. A projectile is projected from a point on the plane and strikes the plane again perpendicularly. If θ is the angle of projection with the horizontal, which relation is correct?
Options

Question

An inclined plane makes an angle 45° above the horizontal. A projectile is projected from a point on the plane and strikes the plane again perpendicularly. If θ is the angle of projection with the horizontal, which relation is correct?

Options

G1 Physics · Accepted Answer

For perpendicular impact on an incline, tan(θ - α) = 1/(2tanα). With α = 45°, tanα = 1. Therefore tan(θ - 45°) = 1/2. Hence option A is correct.