Final answer:
The angular resolution of the photograph taken with the camera lens with aperture 2.0 cm and wavelength of 700 nm is 0.042 degree. The camera cannot resolve the millimeter markings of a ruler placed 35 m away.
Step-by-step explanation:
The angular resolution of a photograph can be determined using the formula:
angular resolution = 1.22 × (wavelength / diameter)
Given that the wavelength is 700 nm and the diameter of the lens aperture is 2.0 cm (which is equivalent to 0.02 m), we can substitute these values into the formula:
angular resolution = 1.22 × (0.7 × 10-6 m / 0.02 m) = 0.042 degree
To determine whether the camera can resolve the millimeter markings of a ruler placed 35 m away, we need to calculate the size of the smallest feature that can be resolved using the given angular resolution. The size of the smallest feature can be calculated using the formula:
size of smallest feature = distance × tan(angular resolution)
Substituting the values into the formula:
size of smallest feature = 35 m × tan(0.042 degree) = 0.025 m = 2.5 cm
Since the size of the smallest feature is larger than the millimeter markings on the ruler, the camera cannot resolve the millimeter markings when the ruler is placed 35 m away.