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A light ray travelling parallel to the principal axis of a concave mirror strikes the mirror at angle of incidence `theta`. If radius of curvature is `R`, then after reflection, the ray meets the principal axis at a distance d from the centre of curvature then d is
A. `(R)/(2)`
B. `(Rcostheta)/(2)`
C. `(R)/(2costheta)`
D. `(R)/(2)(1+costheta)`

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Best answer
Correct Answer - C
image
Here `theta` is not small
In `DeltaACB,(d)/(sintheta)=(R)/(sin(pi-2theta))`
`(d)/(sintheta)=(R)/(sin2theta=2sinthetacostheta)`
`d=(R)/(2costheta)`
As `thetararr0,drarr(R)/(2)=f`

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