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Please help show me how to solve these problems. If a material has an index of r

ID: 2111149 • Letter: P

Question

Please help show me how to solve these problems.


If a material has an index of refraction of 1.50, what is the speed of light through it?

A) 6.00 × 108 m/s


B)3.00 × 108 m/s


C)4.50 × 108 m/s


D)2.00 × 108 m/s


A light ray in air is incident on an air to glass interface at an angle of 45 ° and is refracted at an angle of 30 ° to the normal. What is the index of refraction of the glass?

A)1.23


B)1.74


C)1.31


D)1.41


)Light enters a substance from air at an angle of 32.0 °, and continues at an angle of 23.0 °. What is the index of refraction of the substance?

A)1.28


B)1.36


C)0.74


D)1.11


)Light passes from air to water. The incoming ray is at an angle of 17.0 ° to the normal. The index of refraction is 1.33. What is the angle in the water?

A)22.6 °


B)22.9 °


C)12.7 °


D)18.3 °


94)An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day. What is the angle of refraction in the water for a ray of light that has an angle of incidence of 45 ° as it enters the oil from the air above? (The index of refraction for oil is 1.15, and for water it is 1.33.)

A)32 °


B)27 °


C)39 °


D)36 °



Explanation / Answer

If a material has an index of refraction of 1.50, what is the speed of light through it?


n = c/v = 3E8/1.5 = 2E8


D)2.00 × 108 m/s


A light ray in air is incident on an air to glass interface at an angle of 45 ° and is refracted at an angle of 30 ° to the normal. What is the index of refraction of the glass?


n1 * sin(theta1) = n2 * sin(Theta2)

==> 1 * sin(45) = n2 * sin(30)


D)1.41




)Light enters a substance from air at an angle of 32.0 °, and continues at an angle of 23.0 °. What is the index of refraction of the substance?

n1 * sin(theta1) = n2 * sin(Theta2)

==> 1 * sin(32) = n2 * sin(23)


B)1.36





)Light passes from air to water. The incoming ray is at an angle of 17.0 ° to the normal. The index of refraction is 1.33. What is the angle in the water?


C)12.7 °



94)An oil layer that is 5.0 cm thick is spread smoothly and evenly over the surface of water on a windless day. What is the angle of refraction in the water for a ray of light that has an angle of incidence of 45 ° as it enters the oil from the air above? (The index of refraction for oil is 1.15, and for water it is 1.33.)


A)32 °


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