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In the figure on the left below, unpolarized light is sent through a system of t

ID: 2240710 • Letter: I

Question

In the figure on the left below, unpolarized light is sent through a system of three polarizing sheets. The angles ?1, ?2, and ?3 of the polarizing axes of the sheets are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles ?1 and ?3 are fixed but angle ?2 can be varied. The figure on the right gives the intensity of the light emerging from sheet 3 as a function of ?2. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when ?2 = 90

In the figure on the left below, unpolarized light is sent through a system of three polarizing sheets. The angles ?1, ?2, and ?3 of the polarizing axes of the sheets are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles ?1 and ?3 are fixed but angle ?2 can be varied. The figure on the right gives the intensity of the light emerging from sheet 3 as a function of ?2. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when ?2 = 90 degree ?

Explanation / Answer

From the given problem it is given that angles ?1 and?3 arefixed but angle ?2 can bevaried. Here we assume that without loss of generality we choose ?1 = 0o and ?3 = 90o And given that ?2 =30o Then ?? = ?2 -?1 = 30o and ??' =?3 - ?2 = 60o Then formula for the percentage of the light's initialintensity is transmitted by the three-sheet system when?2= 30 Then formula for the percentage of the light's initialintensity is transmitted by the three-sheet system when?2= 30
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