A matchstick is placed in front of a convex lens having focal length 'f' What is the distance of - Science - Light - Reflection and Refraction

Question

A matchstick is placed in front of a convex lens having focal
length 'f' What is the distance of the matchstick from the lens if
size of real image formed is 'n' times the size of the matchstick?

Vipra Mishra · Accepted Answer

Solution
m =-vu =IO =n  (As image is real)v =-nu1f =1v-1u =-1nu-1u1f =-1-nnuf =-nu(n+1)u=-f(n+1)nSo distance is f(n+1)n

A matchstick is placed in front of a convex lens having focal length 'f'. What is the distance of the matchstick from the lens if size of real image formed is 'n' times the size of the matchstick?