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Question

Consider an equiconvex lens of radius of curvature R and focal length f. If f > R, the refractive index μ of the material of the lens.

A
is greater than zero but less than 1.5
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B
is greater than 1.5 but lens than 2.0
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C
is greater than 1.0 but less than 1.5
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D
none of these
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Solution

The correct option is C is greater than 1.0 but less than 1.5

1f=(μ1)(2R)

orf=R2(μ1)

Now,f>R

R2(μ1)>R

or12(μ1)>1or2(μ1)<1

orμ1<12orμ<(1+12)orμ<1.5

Why this question?

Caution: Refractive index for any medium cannot be less than 1.

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