Question

The radius of the curvature of concave mirror is 40 cm. Find the position of the object in front of the mirror, so that the real image is two times the object

Answer 1

Answer: 60 cm

Explanation:

Given, v=2 u⇒1st equation

          R=40 cm

we know that R=2 f

therefore, f=R/2

                 f=40/2

                 f=20 cm

by applying mirror formula,

  1/f=1/v+1/u

 1/f =1/2u + 1/u (from equation 1)

 1/20=(u+2u)/2u²

1/20= 3u/2u²

1/20=3/2u

2u=3×20

u=(3×20)/2

u=3×10

u=30 cm

from equation 1 we know that,

v=2u

∴ v=2×30

   v=60 cm

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Answer 2

Answer is given below