Answered: What angle is needed between the…

What angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce its intensity by 90%?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 67P: What angle would the axis of a polarizing filter need to make with the direction of polarized light...

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Check Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’
What angle would the axis of a polarizing filter need to make with the direction of polarized light of intensity 1.00kW/m2 to reduce the intensity to 10.0W/m2 ?
Check Your Understanding What happens at Brewster’s angle if the original incident light is already 100% vertically polarized?
Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)
How is the difference in paths taken by two originally in-phase light waves related to whether they interfere constructively or destructively? How can this be affected by reflection? By refraction?
At the end of Example 17, it was stated that the intensity of polarized light is reduced to 90.0% of its original value by passing through a polarizing filter with its axis at an angle of 18.4° to the direction of polarization. Verify this statement.
A scuba diver sees light reflected from the water’s surface. At what angle relative to the water’s surface will this light be completely polarized?
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
Verify that the critical angle for light going from water to air is 48.6°, as discussed at the end of Example 1.4, regarding the critical angle for lig1it traveling in a polystyrene (a type of plastic) pipe surrounded by air.
Prove that if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I’ is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos 90.0=sinand cos2sin2=1 .)
Suppose you put on two pairs of polarizing sunglasses with their axes at an angle of 15.0 . . How much longer will it take the light to deposit a given amount of energy in your eye compared with a single pair of sunglasses? Assume the lenses are clear except for their polarizing characteristics.
A soap bubble is 100 nm thick and illuminated by white light incident at a 45° angle to its surface. What wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?