CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A parallel beam of light travelling in water (refractive index =4/3) is refracted by a spherical air bubble of radius 2 mm situated in water. Assuming the light rays to be paraxial, Find out the distance between a final image from the centre of the bubble in mm.

Open in App
Solution

Given: A parallel beam of light travelling in water (refractive index =4/3) is refracted by a spherical air bubble of radius 2 mm situated in water.
To find the the distance between a final image from the centre of the bubble in mm, by assuming the light rays to be paraxial
Solution:
Considering the refraction at the first surface (with O as origin, left -ve, right +ve) we get,
1vμ=1μRv=Rμ1
The image of the distant object formed by the first surface is S'. This serves as object for the second surface. WE have now (with reference to O' as origin, left -ve and right +ve).
μv1(Rμ1+2R)=μ1Rv=(2μ1μ1)R
Thus the final image is at a distance (2μ1μ1)R from O' to the left or (2μ1μ1)RR=μμ1R to the left from the center.
Here the distance of the image from the center = 43431×2=8mm

953410_161806_ans_20a3610c99ef491f9748b4b33580f5e6.PNG

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Power and Thin Lenses in Contact
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon