light enters from air to diamond, which has a R.I. of 2.42. calculate the speed of light in diamond if the speed of light in air is 3x10^8 m
also, calculate the % decrease in speed of Light in diamond.
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Explanation:
hey mate,
we know that ,
refractive index(RI)=speed of light in air(vacuum)/speed of light in that optical medium
=>2.42=3*10^8 m/s/speed of the light in diamond
=>2.42=3*10^8 m/s/speed of the light in diamond=>speed of light in diamond=3*10^8/2.42 m/s
=>speed of light in diamond=1.24*10^8 m/s
thus,% decrease in the speed of light=
decrease/intial ×100
=(3*10^8 - 1.24*10^8)/3*10^8 × 100
(3*10^8 - 1.24*10^8)/3*10^8 × 100=1.76*10^8/3*10^8 × 100
(3*10^8 - 1.24*10^8)/3*10^8 × 100=1.76*10^8/3*10^8 × 100=0.58*100
=58
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