answer : 1.91 × 10^8 m/s
given, speed of light in water = 2.5 × 10^8 m/s
refractive index of water = 1.3
refraction index of Ruby = 1.7
so, refractive index of Ruby with respect to water = refractive index of Ruby /refractive index of water = 1.7/1.3
we know, refractive index of any medium is inversely proportional to speed of light in that medium.
i.e.,
here, denotes refractive index of medium and v denotes speed of light in that medium.
here,
so, 1.7/1.3 = 2.5 × 10^8/speed of light in ruby
or, 1.3 × 2.5 × 10^8/1.7 = speed of light in ruby
or, speed of light in ruby = 1.91 × 10^8 m/s
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answer : 1.91 × 10^8 m/s
given, speed of light in water = 2.5 × 10^8 m/s
refractive index of water = 1.3
refraction index of Ruby = 1.7
so, refractive index of Ruby with respect to water = refractive index of Ruby /refractive index of water = 1.7/1.3
we know, refractive index of any medium is inversely proportional to speed of light in that medium.
i.e.,
here, denotes refractive index of medium and v denotes speed of light in that medium.
here,
so, 1.7/1.3 = 2.5 × 10^8/speed of light in ruby
or, 1.3 × 2.5 × 10^8/1.7 = speed of light in ruby
or, speed of light in ruby = 1.91 × 10^8 m/s