given the refractive index of benzene equal to 1.50 and the speed of light in air is equal to 3 into 10 raise to 8 metre per second calculate the percent of reduction of speed off light when it travels from air to benzene
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Refractive Index = Speed of light in Air / Speed of light in medium
Speed of light in medium = Speed of light in air / Refractive index
=> Speed of light in medium = 3 × 10⁸ / 1.5
=> Speed of light in medium = 2 × 10⁸ m/s
So, Percentage Change = ( Change in Speed / Speed of light in air ) * 100
=> Change in Speed = 3 × 10⁸ - 2 × 10⁸
=> Change in speed = 10⁸ ( 3 - 2 ) = 10⁸
=> Percentage change = ( 10⁸ / 3 × 10⁸ ) * 100
=> Percentage change = ( 1 / 3 ) * 100
=> Percentage change =33.34%
Refractive Index = Speed of light in Air / Speed of light in medium
Speed of light in medium = Speed of light in air / Refractive index
=> Speed of light in medium = 3 × 10⁸ / 1.5
=> Speed of light in medium = 2 × 10⁸ m/s
So, Percentage Change = ( Change in Speed / Speed of light in air ) * 100
=> Change in Speed = 3 × 10⁸ - 2 × 10⁸
=> Change in speed = 10⁸ ( 3 - 2 ) = 10⁸
=> Percentage change = ( 10⁸ / 3 × 10⁸ ) * 100
=> Percentage change = ( 1 / 3 ) * 100
=> Percentage change =33.34%
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