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The radius of curvature of a thin plno-convex lens is 10 cm (of curved surface) and the refractive index is 1.5. If the plane surface is silvered, then the focal length will be
  • a)
    15 cm
  • b)
    20 cm
  • c)
    5 cm
  • d)
    10 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The radius of curvature of a thin plno-convex lens is 10 cm (of curved...
The focal length of a combination of lenses, is given by, 
f = R​/2(μ−1)
Substituting, the values R = −10 cm and μ = 1.5 
We get, f = −10 cm
Here, -ve sign shows that it will behave like a concave mirror.
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Most Upvoted Answer
The radius of curvature of a thin plno-convex lens is 10 cm (of curved...
Given: Radius of curvature (R) = 10 cm, refractive index (n) = 1.5

To find: Focal length (f) of the plano-convex lens when the plane surface is silvered.

Formula to find the focal length of a plano-convex lens:

1/f = (n-1) * (1/R1 - 1/R2)

Where, R1 is the radius of curvature of the curved surface and R2 is the radius of curvature of the plane surface.

When the plane surface is silvered, R2 becomes infinity.

Substituting the given values:

1/f = (1.5-1) * (1/10 - 0)

1/f = 0.05

f = 1/0.05

f = 20 cm

Therefore, the correct answer is option 'D' (10 cm).
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The radius of curvature of a thin plno-convex lens is 10 cm (of curved...
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