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Wave Optics

Question
CBSEENPH12039021
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A point object 'O' is kept in a medium of refractive index n1 in front of a convex spherical surface of radius of curvature R which separates the second medium of refractive index n2 from the first one, as shown in the figure.

Draw the ray diagram showing the image formation and deduce the relationship between the object distance and the image distance in terms of n1, n2 and R.

 

b) When the image formed above acts as a virtual object for a concave spherical surface separating the medium n2 from n1 (n2 > n1), draw this ray diagram and write the similar (similar to (a)) relation. Hence obtain the expression for the lens maker’s formula.

Solution

Ray diagram showing the image formation is given below:

The rays are incident from medium of refractive index n1 to another medium of refractive index n2.

NM is taken to be nearly equal to the length of the perpendicular from the point N on the principal axis.

We can have approximation for small angles. We get, 

Error converting from MathML to accessible text.
b) 

 When the image formed is virtual and n2 > n1
Error converting from MathML to accessible text.

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:
 Light diverging from a point source.

What is the shape of the wavefront in each of the following cases:
 Light emerging out of a convex lens when a point source is placed at its focus.

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth. 

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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