An object is placed at 15 cm from a convex lens of focal length 10 cm . Where should another convex mirror of radius 12 cm placed such that image will coincide with object
The lens formula is given as,
1v−1u=1f
1v−1(−15)=110
v=30cm
The coincidence is possible when the image is formed at the centre of curvature of the mirror. Only then the rays refracting through the lens will fall normally on the convex mirror and retrace their path to forma the image at the place of object.
The distance from the lens to the mirror is given as,
d=30−12
d=18cm