Answer :
Rank of Lenses (in increasing aperture diameter) is D. (35, f > 5.6), B (150, f > 5.6), C (35, f > 1.2), and A (150, f > 1.2).
The relationship between the aperture diameter (D), f-number (f), and focal length (F) of a lens is given by the formula:
[tex]D = \frac{F}{f}[/tex]
Using this formula, we can compute the aperture diameter for each lens:
Lens A: Focal Length = 150 mm, f > 1.2
For an f-number of 1.2: [tex]D = \frac{150}{1.2} = 125[/tex] mm
(This is the maximum aperture diameter based on f > 1.2.)Lens B: Focal Length = 150 mm, f > 5.6
For an f-number of 5.6: [tex]D = \frac{150}{5.6} \approx 26.79[/tex] mm
(This is the maximum aperture diameter based on f > 5.6.)Lens C: Focal Length = 35 mm, f > 1.2
For an f-number of 1.2: [tex]D = \frac{35}{1.2} \approx 29.17[/tex] mm
(This is the maximum aperture diameter based on f > 1.2.)Lens D: Focal Length = 35 mm, f > 5.6
For an f-number of 5.6: [tex]D = \frac{35}{5.6} \approx 6.25[/tex] mm
(This is the maximum aperture diameter based on f > 5.6.)