Question

Diamond has a refractive index of 2.42. Given that,the speed of light in vacuum is 3.0×10exponent 8m/m, Determine :
(a) the speed of light in diamond.
(b) the critical angle for diamond
GPT 3.5
(a) The speed of light in diamond can be calculated using the formula:

Speed of light in diamond = Speed of light in vacuum / Refractive index of diamond

Speed of light in diamond = 3.0×10^8 m/s / 2.42
Speed of light in diamond = 1.24×10^8 m/s

Therefore, the speed of light in diamond is 1.24×10^8 m/s.

(b) The critical angle for diamond can be calculated using the formula:

Critical angle = sin^(-1)(1 / Refractive index of diamond)

Critical angle = sin^(-1)(1 / 2.42)
Critical angle = sin^(-1)(0.4132)
Critical angle = 24.4 degrees

Therefore, the critical angle for diamond is 24.4 degrees.

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