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The velocities of light in air and glass are 3 ... - JAMB Physics 1999 Question

The velocities of light in air and glass are 3.0 x 108ms-1 and 2.0 x 108ms-1 respectively. If the angle of refraction is 30°, the sine of the angle of incidence is
A
0.33
B
0.50
C
0.67
D
0.75
correct option: d

Refractive index

= (\frac{Sin i}{Sin r}) = (\frac{\text{Vel. of light in air}}{\text{vel. of light in glass}})

= (\frac{Sin i}{Sin 30^o})= (\frac{3.0 \times 10^8}{2.0 \times 10^8})

= Sin i = (\frac{(3.0 \times 10^8 \times Sin 30^o)}{2.0 \times 10^8})

= Sin i = (\frac{(3.0 \times 10^8 \times 0.5)}{2.0 \times 10^8})

= (\frac{1.5}{2})

= 0.75

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