A thin equi-convex lens is made of glass with refractive index 1.5, and its focal length is 0.2 m. If it acts as a concave lens of 0.5 m focal length when dipped in a liquid, the refractive index of the liquid is:
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Explanation:
Apply this formula .
ng -1 / ( ng/nl)-1 = multiple on f of glass lens
i.e this multiple× fg = foc
Of lens dipped in liquid
Here, nl=refractive index of liquid
So 1.5-1 / (1.5/nl)-1= multiple on 0.2m
Now, multiple on 0.2m is , 0.5/0.2=5/2
So,
0.5 / (1.5/nl)-1 = 5/2
(7.5/nl )-5= 1
7.5= 6nl
nl=7.5/6
=1.25
Ans=1.25
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