CBSE Class 10 Science 2015 Term II Outside Delhi Set 1

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Question : 4
Total: 36
The absolute refractive indices of glass and water are 4∕3 and 3∕2 respectively. If the speed of light in glass is 2×108m∕ s, calculate the speed of light in (i) vacuum, (ii) water.
Solution:  
(i) Given: ng=‌
4
3
,nw=‌
3
2
,vg=2×108m∕ s

We know that for glass,
ng=‌
c
vg

∴ Speed of light in air or vacuum,
c‌=ngvg
‌=‌
4
3
×2
×108
=2.67×108m∕ s

(ii) Also in water,
nw‌=‌
c
vw

∴‌‌vw‌=‌
c
nw
=‌
2.67×2×108
3

Speed of light in water =1.78×108m∕ s.
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