If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be:
- -10 cm
- -12 cm
- 15 cm
- 10/3 cm
Answer
(1) -10 cm
Solution
Magnified virtual image concave mirror, image behind the mirror.
Let u=-x; m=- vu=+2 v=+2x
Object–image distance: x+2x=15 x=5 cm
u=-5 cm, v=+10 cm
1f= 1v+ 1u= 110- 15=- 110
f=-10 cm
Only a concave mirror (object within f) gives an erect, magnified virtual image.
Answer: (1)