Exam 35: Optical Instruments

A certain astronomical telescope has a diameter of 5.60 m.Considering only the limitation due to diffraction,what is the minimum angle of resolution for this telescope at a wavelength of 620 nm?

The eyepiece of a compound microscope has a focal length of 2.50 cm and the objective has a focal length of 1.60 cm.The two lenses are separated by 15.0 cm.The microscope is used by a person with normal eyes (near point at 25 cm).What is the angular magnification of the microscope?

The distance between the object and the eyepiece of a compound microscope is 18.0 cm.The focal length of its objective lens is 0.80 cm and the eyepiece has a focal length of 2.3 cm.The near-point distance of the person using the microscope is 25.0 cm.What is the total overall magnification of the microscope?

If the headlights on a car are separated by 1.3 m,how far down the road can they be resolved if the angular resolution of the eye is 5.0 × 10^-4 rad and the person has excellent vision?

A magnifying glass uses a converging lens with a refractive power of 20 diopters.What is the magnification if the image is to be viewed by a relaxed eye (image at the far point)having a near point of 25 cm and a far point at infinity?

The focal lengths of the objective and the eyepiece in a microscope are 0.29 cm and 2.50 cm,respectively.An object is placed at 0.30 cm from the objective lens and the image of this object is viewed with the eyepiece adjusted for minimum eyestrain (with the eye focused at the far point).The near point of the person using the microscope is 25 cm and the far point is at infinity.What is the final overall magnification of the microscope?

A magnifying lens has a focal length of 10 cm.A person has a near point of 25 cm and a far point at infinity.What is the angular magnification of the lens for that person when their eyes are focused at infinity?

A camera lens has a focal length of 50.0 mm and an aperture setting of f/4.00.What is the aperture diameter of this lens?

Treat each of your eyes as a circular aperture of diameter 3.5 mm.Light of wavelength 500 nm is used to view two point sources that are 894 m distant from you.How far apart must these two point sources be if they are to be just resolved by your eye? Assume that the resolution is diffraction limited and use Rayleigh's criterion.

The angular magnification of a refracting telescope is 40 x.When the object and final image are both at infinity,the distance between the eyepiece and the objective is 143.5 cm.The telescope is used to view a distant radio tower.The real image of the tower,formed by the objective,is 6.0 mm in height.The focal point of the eyepiece is positioned at the real image.What is the angle subtended by the final image of the tower.

The focal lengths of the objective and eyepiece in a compound microscope are 0.80 cm and 2.5 cm,respectively.The image formed by the objective is 16 cm from it and the final image is 25 cm from the eye.What is the total overall magnification of the microscope?

The objective lens of a refracting telescope has a focal length of 60 cm and the eyepiece a focal length of 8.0 cm.What is the angular magnification of the telescope?