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Problem 19 Easy Difficulty

The light beam shown in Figure P22.19 makes an angle of $20.0^{\circ}$ with the normal line $N N^{\prime}$ in the linseed oil. Determine the angles $\theta$ and $\theta^{\prime} .$ (The refractive index for linseed oil is 1.48 . )

Answer

$\theta=30.41^{\circ} \text { and } \theta^{\prime}=22.37^{\circ}$

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Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

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Jared E.

University of Winnipeg

Video Transcript

for this problem. On the topic of reflection and refraction of light, we have shone a light beam in the figure and this makes an angle of 20 degrees with the normal line in the linseed oil. We want to find data, the angle of incidence and theta prime the angle of refraction if we are given the refractive index index for linseed oil, so we can first use Snell's law to find the angle theta and using Snell's law, we get data Is the ox sign of the effective index for the linseed oil in oil times sign data in the oil divided by the effective index in air. And so if we substitute our values in, this becomes the oxen of 1.48 times sine of 20 degrees over the refractive index for air, which is one and so calculating. We get the angle of incidence at the oil interface data to be 30 0.4 degrees, and now similarly, we can calculate the angle of refraction as the light enters the water and this is the prime. So theater prime is the oxen of the reflective index for oil times. Sign data for oil over the reflective index of water. And so this is the ox sign of one 0.48 times again, the sign of 20 degrees divided by the effective index of water, which is one 0.333 So calculating we get the angle of refraction of the light enters the water. Peter Prime to be 22 0.3 degrees.

University of Kwazulu-Natal
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

Other Schools

Jared E.

University of Winnipeg