Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
We use the formula  for refraction through the curved surface (convex) of the lens, when the light falls on the unsilvered face of the lens.  

We assume that  R = radius of curvature of either surface of convex lens.  μ_g = refractive index of the material of lens.  u = object distance.

             1/v1 - 1/u1 =  (μ_g - 1) / R    --- (1)

            1/v1 = (μ_g - 1) / R  -  1/u1    --- (2)      ,    using sign convention:

From the above we find the image distance.

The rays from the object get refracted and fall on the silvered surface of the lens.  We should treat the silvered surface as a concave mirror.  Hence, the light rays are reflected and converge at the image distance.  we may get a real inverted image.

     v1 from the above calculation,  will act as the virtual object distance for the concave mirror.  We should use the appropriate sign as per sign convention.

   Then focal length of concave mirror will be equal to  R/2  where  R = radius of curvature.

   so we use the formula:   1/v + 1/u  = 1/f      ------ (3)
       We find v as we know  u and f. and sign convention.

                  1/v2  - 1/v1  =  2/R
                 1/v2  =  2 / R +  (μ_g - 1) / R  -  1/u1
                  1 / v2  +  1 / u1 =  (1 + μ_g) / R

     This is equivalent to a concave mirror  with a focal length :  (1 + μ_g) / R

So the focal length is smaller than  R / 2.

I hope it is correct, I am not sure.

2 5 2
click on thanks blue button above please
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts