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Home/ Questions/A beam of white light is incident on the surface of a diamond at an angle θa
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ptntuto
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ptntuto
Asked: April 11, 20222022-04-11T18:28:56+00:00 2022-04-11T18:28:56+00:00In: Physics

A beam of white light is incident on the surface of a diamond at an angle θa

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Item 12 Part A Calculate Vred, the speed of red light in the diamond. To four...

A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light’s wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred = 2.410 for red light and nblue = 2.450 for blue light. The surrounding air has nair 1.000. Note that the angles in the figure are not to scale.

Part A: Calculate vred, the speed of red light in the diamond. To four significant figures c = 2.998 × 108 m/s

Part B: Calculate vblue, the speed of blue light in the diamond. To four significant figures c= 2.998 × 108 m/s 

Part C: Derive a formula for δ, the angle between the red and blue refracted rays in the diamond  (Express the angle in terms of nred, nblue, and θa. Use nair = 1. Remember that the proper way to enter the inverse sine of x in this case is asin(x)


Revelant knowledge

Snell’s Law: A light beam contains an index reflection equal to the ratio n= c/v in which case we could calculate the angle of refraction by with the help of Snell’s Law: n1sinθ1=n2sinθ2

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    Isabella Jones
    2022-04-11T18:28:58+00:00Added an answer on April 11, 2022 at 6:28 pm

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