Final answer:
To find the angle between the polarizing directions of two sheets, use the equation: Transmitted intensity = (cos^2 α) / (cos^2 β), where α is the angle between the incident polarization and the transmission axis of the first sheet, and β is the angle between the transmission axis of the first sheet and the transmission axis of the second sheet. Solve for the angle β using the given values.
Step-by-step explanation:
In order to find the angle between the polarizing directions of the two sheets, we can use the formula:
Transmitted intensity = (cos^2 α)/(cos^2 β)
where α is the angle between the incident polarization and the transmission axis of the first sheet, and β is the angle between the transmission axis of the first sheet and the transmission axis of the second sheet.
Given that the transmitted intensity is 43.0% of the initial intensity, we can solve for β:
43.0% = (cos^2 α)/(cos^2 β)
Simplifying the equation, we can take the square root of both sides:
0.43 = cos α / cos β
Now we can calculate the angle β:
β = cos^-1 (cos α / 0.43)
Substituting the values of α and β into the equation, we can solve for the angle between the polarizing directions of the two sheets.