An object LMNO is placed in front of a concave mirror beyond the centre of curvature C as shown in figure. Which of the following is correct regarding the shape of the image?

Options

A. `|m_(LO)| lt 1 and | m_(MN)| lt 1`
B. `|m_(LO)| lt |m_(MN)|`
C. `|m_(LO)| gt |m_(MN)|`
D. Both (A) and (B)

Answer

D

Explanation

Object is placed beyond C. Hence, the image will be real and it will lie between C and F. Further u and V are negative, hence the mirror formula will become
`(1)/(v) + (1)/(u) = (1)/(f)`
`(1)/(v) = (1)/(f) - (1)/(u) = (u-f)/(uf)" or "v = (f)/(1-(f//u))`

Now `U_(LO) gt U_(MN) therefore V_(LO) lt V_(MN)`
`|m_(LO)| lt |m_(MN)| (" As "m = - (V)/(U))`
Note that, `V_(LO) lt U_(LO) and V_(MN) lt U_(MN)`
So, `|m_(LO)| lt 1 and |m_(MN)| lt 1`