Lense.....problem...

If one face of a bi-convex lense with focal length f is silvered , what will be the new focal length ?
Also what if the lense was a plano convex lense??

the second part of the qsn was asked in wbjee..which i could not answer...[2]

5 Answers

1
Manmay kumar Mohanty ·

When one surface of a biconvex lens is silvered then in this situation , Two times refraction through lens and one time reflection occurs
So power of combination
P = PL+Pm+PL = 2PL+Pm
Pm=-1fm , fm=R2 , PL = 1fL (fL is in metre )

for plano convex lens
two cases may arise
CASE-I

If plane surface is silvered
let radius of curvature is R and μ be its refractive index
P = 2PL + Pm
PL = 1fL = (μ-1)\left[\frac{1}{R}-\frac{1}{-\infty } \right]
\Rightarrow P_{L} = \frac{(\mu -1)}{R}

PM = -1fm = -1∞ = 0

hence P = 2(μ-1)R , f = R2(μ-1)

CASE - II

if curved surface is silvered
P = 2PL+Pm

P_{L} = (\mu -1)\left[\frac{1}{\infty } -\frac{1}{-R}\right] = \frac{(\mu -1)}{R}

Pm = -1fm = -1-R/2 = 2R

hence P = 2μR and f = R2μ

1
Manmay kumar Mohanty ·

isn't this wat u wanted SANDIPAN [7]

11
SANDIPAN CHAKRABORTY ·

thanks Manmay....

thanks for giving both the cases..though only the first case was asked in Wbjee....

kudos....

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1
Manmay kumar Mohanty ·

only first cassse was asked to bataya kyun nahin
Bohat type karna pada bekar main :P
but nevertheless if it helped u then its fine :)

11
SANDIPAN CHAKRABORTY ·

sry...but ya both of them helped me....thanks once again...

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