Optics 2 Question 30
29. A parallel beam of light travelling in water (refractive index ) is refracted by a spherical air bubble of radius situated in water. Assuming the light rays to be paraxial.
(a) Find the position of the image due to refraction at the first surface and the position of the final image.
(b) Draw a ray diagram showing the positions of both the images.
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Answer:
Correct Answer: 29. (a)
Solution:
- (a)
Applying
First on left surface
i.e. first image will be formed at
Second on right surface Now, distance of first image
or
(b) The ray diagram is shown in figure.
NOTE
- At
and both normal will pass through . - At
ray of light is travelling from a denser medium (water) to rarer medium (air) therefore, ray of light will bend away from the normal and on extending meet at . Similarly at , ray of light bends towards the normal. - Both the images
and are virtual.