Question

A plane mirror and a concave mirror (f = 8.00 cm) are facing each other and are separated by a distance of 22.5 cm. An object is placed between the mirrors and is 11.3 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. What is the distance of the image (d_i) produced by the concave mirror?

Answer 1

for plane mirror the image will be formed behind it. also for plane mirror, image distance= object diatance. so for plaane mirror image distance= 11.3 cm

This image acts as an object for the concave mirror, for the concave mirror, object distance= 11.3+22.5=33.8 cm

f=8.0 cm

now using lens formula

1/f= 1/p + 1/q

1/8.0= 1/33.8 + 1/q

q= 10.48 cm

so the image distance from the concave mirror= 10.48 cm

I hope help you !!