Question

Find the radii of curvature of convex concave convergent lens made of glass
with refractive index n - 1.5 having focal length of 24 cm. One of the radii of
curvature is double the other
​

Answer 1

Answer:

Given: a convexo-concave convergent lens made of pf glass with refractive index, ν=1.5 and focal length, f=24cm. It has one of the radii of curvature is double the other

To find its radii of the curvature

Solution:

According to the given criteria,

R  

1

​  

=2R  

2

​  

 

for convexo-concave lens R  

1

​  

 is positive and R  

2

​  

 is positive

According to the lens maker formula,

f

1

​  

=(n−1)(  

R  

1

​  

 

1

​  

−  

R  

2

​  

 

1

​  

)

⟹  241 =(1.5−1)(  R  1 −  2R  1 1 )

⟹ 24×0.5 1  =  2R  12−1 ⟹R  1

​  

=  2 12  =6cm

∴,R  2  =2R  1  =12cm

Hence the radii of the curvature is 6cm and 12cm

Answer 2

Answer:

6cm and 12cm

Explanation:

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