Q. 26 Unpolarized light with intensity... [FREE SOLUTION]

Chapter 31: Q. 26 (page 902)

Unpolarized light with intensity $350 W / m^{2}$ passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity $131 W / m^{2}$ . What is the angle from vertical of the axis of the second polarizing filter?

Short Answer

Expert verified

The angle from vertical of the axis $胃 = {30.09}^{鈭�}$

Step by step solution

Definition of polarization light

Polarization of sunshine refers to the phenomenon of restricting the vibrations of sunshine, i.e., the electric field vector, in a very specific direction that's is perpendicular to the direction of wave propagation. Consider an unpolarized light wave moving along the x-axis.

Calculate angle(part a)

First filter $I_{o} = 350 W / m^{2}$

Second filter $I_{o} = 131 W / m^{2}$

Unpolarized light $I_{o} = 350 W / m^{2}$ After passing through the primary first filter, we get vertically polarized light with the subsequent following intensity:

Let angle between vertical $鈭�$ second filter axis be $胃$ :

$\begin{aligned} 131 = 175 \cos^{2} 鈦� 胃 \\ \cos 鈦� 胃 = \sqrt{\frac{131}{175}} \end{aligned}$

$\begin{aligned} 胃 = \cos^{鈭� 1} 鈦� (\sqrt{\frac{131}{175}}) \\ 胃 = {30.09}^{鈭�} \end{aligned}$

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Unpolarized light with intensity $350 W / m^{2}$ passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity $131 W / m^{2}$ . What is the angle from vertical of the axis of the second polarizing filter?

Short Answer

Step by step solution

Definition of polarization light

Calculate angle(part a)

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91影视

Unpolarized light with intensity350W/m2 passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity 131W/m2. What is the angle from vertical of the axis of the second polarizing filter?

Short Answer

Step by step solution

Definition of polarization light

Calculate angle(part a)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Rotational Dynamics

Particle Model of Matter

Astrophysics

Electricity and Magnetism

Geometrical and Physical Optics

Study anywhere. Anytime. Across all devices.

Unpolarized light with intensity $350 W / m^{2}$ passes first through a polarizing filter with its axis vertical, then through a second polarizing filter. It emerges from the second filter with intensity $131 W / m^{2}$ . What is the angle from vertical of the axis of the second polarizing filter?