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Re: Optics B/C

Posted: February 11th, 2018, 4:28 am
by Pettywap
A pair of ideal polarizing filters are placed one in front of the other near a source of light so that the rays arrive perpendicular to the planes of the filters. What angle should the polarization axes be placed so that the second filter transmits 0.25 of the light energy it receives?

Re: Optics B/C

Posted: February 11th, 2018, 9:10 am
by UTF-8 U+6211 U+662F
Pettywap wrote:A pair of ideal polarizing filters are placed one in front of the other near a source of light so that the rays arrive perpendicular to the planes of the filters. What angle should the polarization axes be placed so that the second filter transmits 0.25 of the light energy it receives?
[math]\cos^2 \theta = \frac14; \cos \theta = \frac12; \theta = \frac\pi3 = 60 \degree.[/math]

Re: Optics B/C

Posted: February 11th, 2018, 3:07 pm
by Pettywap
UTF-8 U+6211 U+662F wrote:
Pettywap wrote:A pair of ideal polarizing filters are placed one in front of the other near a source of light so that the rays arrive perpendicular to the planes of the filters. What angle should the polarization axes be placed so that the second filter transmits 0.25 of the light energy it receives?
[math]\cos^2 \theta = \frac14; \cos \theta = \frac12; \theta = \frac\pi3 = 60 \degree.[/math]
Correct!! your turn

Re: Optics B/C

Posted: February 11th, 2018, 3:44 pm
by UTF-8 U+6211 U+662F
A converging lens in air is placed underwater. What happens to the lens?

Hint: Be careful.

Re: Optics B/C

Posted: February 11th, 2018, 4:33 pm
by chopchpp
UTF-8 U+6211 U+662F wrote:A converging lens in air is placed underwater. What happens to the lens?

Hint: Be careful.
focal length increases?

Re: Optics B/C

Posted: February 11th, 2018, 4:47 pm
by UTF-8 U+6211 U+662F
chopchpp wrote:
UTF-8 U+6211 U+662F wrote:A converging lens in air is placed underwater. What happens to the lens?

Hint: Be careful.
focal length increases?
There's more to the correct answer.

Hint 2: I didn't specify what the lens was made out of.

Re: Optics B/C

Posted: February 11th, 2018, 6:19 pm
by Pettywap
UTF-8 U+6211 U+662F wrote:
chopchpp wrote:
UTF-8 U+6211 U+662F wrote:A converging lens in air is placed underwater. What happens to the lens?

Hint: Be careful.
focal length increases?
There's more to the correct answer.

Hint 2: I didn't specify what the lens was made out of.
It also depends on the index of refraction of the lens. The focal length could be infinity because the converging lens could be the same material as water, which means there is no refraction.

Re: Optics B/C

Posted: February 11th, 2018, 6:24 pm
by UTF-8 U+6211 U+662F
Almost there, a little more to the answer.

Re: Optics B/C

Posted: February 19th, 2018, 10:05 am
by UTF-8 U+6211 U+662F
All right, my question killed the marathon, so I'll just post the answer.
If the refractive index of the lens > 1.33: The focal length increases.
If the refractive index of the lens = 1.33: The lens becomes invisible.
If the refractive index of the lens < 1.33: The lens becomes diverging.
1) Fill in the blank: Stars moving toward us appear more _ (color).
2) Why is this?

Re: Optics B/C

Posted: February 19th, 2018, 10:48 am
by jonboyage
UTF-8 U+6211 U+662F wrote:All right, my question killed the marathon, so I'll just post the answer.
If the refractive index of the lens > 1.33: The focal length increases.
If the refractive index of the lens = 1.33: The lens becomes invisible.
If the refractive index of the lens < 1.33: The lens becomes diverging.
1) Fill in the blank: Stars moving toward us appear more _ (color).
2) Why is this?
Blue; wavelength decreases due to Doppler shift