32. Observe the following figure. AB is light ray travelling from
air. BC and BD are refracted rays.
que
i) Which is the refracted ray if the liquid taken is benzene?
ii) Which is the refracted ray if the liquid taken is water?
Justify your answer. (The absolute refractive index of water and benzene
are 1.33 and 1.5 respectively)
Answers
Thus the speed of light reduces by 33.33 % on entering the benzene.
Explanation:
Correct statement:
A ray of light enters into benzene from air. If the refractive index of benzene is 1.50, by what percent does the speed of light reduce on entering the benzene?
Solution:
η = c / v
Where c = speed of light
η benzene = 1.50
We know
c = 3 x 10^8 m/s
η = c / v
V benzene = c / η = 3 x 10^8 / 1.5 = 2 x 10^8 m/s
% Reduction in speed of light = c − v / c x 100
= 3×10^8 − 2×10^8 / 3 × 10^8 × 100
= 10^8 / 3×10^8 × 100
Percentage = 33.33 %
Thus the speed of light reduces by 33.33 % on entering the benzene.
(i) BD is the refracted ray if the liquid taken is benzene
(ii) BC is the refracted ray if the liquid taken is water
Explanation:
The figure is attached.
Given that the refractive index of water and benzene are 1.33 and 1.5 respectively
Therefore, it is clear that water is a rarer medium than benzene
We know that
When a ray of light travels from rarer to denser medium it deflects towards the normal, the denser the medium, the greater is the deflection towards the normal
from the given attached figure it is clear that the ray BD is deflected more towards the normal than that of ray BC
Therefore, BD is the refracted ray if the liquid taken is benzene
And, BC is the refracted ray if the liquid is taken as water
Hope this answer is helpful,
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