A student wants to project the image of a candle flame on a screen 60cm in front of a mirror by keeping the flame at a distance of 15 cm from its pole.
(i) Write the type of mirror he should use.
(ii) Find the linear magnification of the image produced.
(iii) What is the distance between the object and its image ?
(iv) Draw a ray diagram to show the image formation in this case.

Explanation

(i) Concave mirror
(ii) Linear magnification `= - ("Image distance")/("Object distance")`
`m= (-v)/(u)`
Object distance , `u = -15` ( u is always negative )
Image distance , `u= - 60 ` (v is negative for real image )
`m = - ((-60))/((-15))` `:. m = -4`
The minus sign in magnification shows that the image formed is real and inverted.
(iii) Distance between object and its image `=45 cm`
(iv) Ray diagram `:`

The image formed is real, inverted, magnified and beyond 2f