A concave mirror used for face viewing has focal length of `0.4 m`. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is ______ (in m).

Options

A. `0.24m`
B. 1.60 m
C. 0.32 m
D. 0.16 m

Answer

c

Explanation

`+5= -(v)/(u) implies v= -5u`
Using `(1)/(v)+ (1)/(u)= (1)/(f) implies (1)/(-5u)+ (1)/(u)= (-1)/(0.4)`
`:. U= -0.32 m`