The speed of light in a material is 0.41 c. What is the critical angle of a ligh

Question

The speed of light in a material is 0.41 c. What is the critical angle of a light ray at the interface between the material and a vacuum? 1. When light travels from air into water, A) its velocity, wavelength and frequency all change. B) its velocity changes, but its frequency and wavelength do not change. C) its frequency changes, but its velocity and wavelength do not change. D) its velocity and wavelength change, but its frequency does not change E) its wavelength changes, but its velocity and frequency do not change 2. water n-133 168? glass 3. A ray in glass arrives at the glass-water interface at an angle of 48 with the normal. The refracted ray, in water, makes a 68° angle with the normal. The index of refraction of water is 1.33. In Figure 23.2b, the angle of incidence of a different ray in the glass is 17 The angle of refraction in the water is closest to: 4. A glass plate whose index of refraction is 1.57 is immersed in a liquid. The surface of the glass is inclined at an angle of 54° with the vertical. A horizontal ray in the glass is incident on the interface. The liquid is an oil whose index of refraction is 1.40. The incident horizontal ray refracts at the interface. The angle that the refracted ray, in the oil makes with the horizontal is closest to: 5. The critical angle for an air-glass interface is 10.9 degrees. A ray in air is incident on the aumber of bacteria/ml in the s What is the totral numbeT

Explanation / Answer

1) speed of light is v = 0.41 c

then refractive index of material is n = c/v = c/(0.41*c) = 1/0.41 = 2.44

using snell's law

n1*sin(i) = n2*sin(r)

1*sin(i) = 2.44*sin(90)

i = sin^(-1)(1/2.44) = 24.2 deg

when light travels from air into water,then

it's frequency does not changes at the interface of the two media

only wavelength changes,and hence speed of light also changes since v = lamda*f

so correct choice is D)

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