1] Two different colors of light (Color 1 and Color 2) are known to have the sam

Question

1] Two different colors of light (Color 1 and Color 2) are known to have the same speed when traveling in Medium A. When they pass from Medium A into Medium B, they display the behavior shown below: Both Colors Medium A Color 1 Medium B Color 2 A (a) Based upon this behavior, rank the following from fastest to slowest: (i) (ii) (iii) Speed of both Colors in Medium A Speed of Color 1 in Medium B Speed of Color 2 in Medium B (b) Is Medium B dispersive with respect to light waves? Explain your answer. 2] A transverse wave is traveling along a string. Suppose that the mass density of the string becomes larger in one section of the string. As the wave enters this section of the string: (a) Describe what happens to the speed of the wave. (b) Describe what happens to the frequency of the wave. (c) Describe what happens to the wavelength of the wave. (d) Describe what happens to the period of the wave.

Explanation / Answer

1. (a) Since Colour 1 has deviated its path more, therefore index of refraction for colour 1 is more than colour 2, Now, since Speed is inversely proportional to the index of Refraction, therefore speed of colour 2 is more than Colour 1

(b) Yes, medium B is dispersive, since it leads to sepration of colours.

2. (a) Speed of wave is given by V = Sqrt ( T/u), where u is mass density, therefore speed of the wave will become less in the section

(b) Frequency will remain same

(c) Since speed is decreased, therefore wavelength will also decrease.

(d) Since frequency remains same, therefore Period will also remains same

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