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 incid...

Assessment: JAMB UTME - Physics - 1999 Subject: Physics

Question 1 Report

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
Answer Details
The sine of the angle of incidence can be found by applying Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities of light in the two media. So, we have: sin(angle of incidence) / sin(30°) = velocity of light in air / velocity of light in glass Substituting the given values, we get: sin(angle of incidence) / 0.5 = (3.0 x 10^8 m/s) / (2.0 x 10^8 m/s) Solving for sin(angle of incidence), we get: sin(angle of incidence) = 0.5 x (3.0 / 2.0) = 0.75 Therefore, the sine of the angle of incidence is 0.75. So, the answer is 0.75.

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