Question: Problem 2 : ( 2 0 points ) [ You will use your student ID parameter ( mathbf { Y } )

Problem 2: (20 points)[You will use your student ID parameter \(\mathbf{Y}\) in this question]
An imaging system is illustrated above. Suppose that the camera has the following parameters:
Focal length of the lens: \( f=4\mathrm{~mm}\)
Sensor length: 1mm
Distance between the lens the sensor plane: \( d=\mathbf{Y}+5\mathrm{~mm}\).
(a) Write the equation to calculate the field of view. (Just write the equation, do not calculate the numbers.)
(b) What happens to the field of view if the diameter of the lens is doubled?
(c) Write the equation to calculate the distance between the lens and focus plane. (Just write the equation, do not calculate the numbers.)
(d) What happens to the image brightness and the focus plane if the diameter of the lens is doubled and d is doubled, given everything else is fixed?
Problem 2 : ( 2 0 points ) [ You will use your

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