A microscope with an objective of focal length 1.6 mm is used to inspect the tiny features of a computer chip in (Figure 1) . It is desired to resolve two objects only 500 nm apart. Part A What diameter objective is needed if the microscope is used in air with light of wavelength 550 […]
Two light bulbs are 2.0 m apart. Part A From what distance can these light bulbs be marginally resolved by a small telescope with a 4.0 cm -diameter objective lens? Assume that the lens is limited only by diffraction and λ=600nm. Express your answer using two significant figures.
A ray of red light, for which n=1.54, and a ray of violet light, for which n=1.59, travel through a piece of glass. They meet right at the boundary between the glass and the air, and emerge into the air as one ray with an angle of refraction of 22.5∘. Part A What is the […]
Your telescope has a 800-mm-focal-length objective and a 22 mm -focal-length eyepiece. One evening you decide to look at the full moon in (Figure 1) , which has an angular size of 0.52 ∘ when viewed with the naked eye. Part A What angle (in degrees) does the image of the moon subtend when you […]
The objective lens of the refracting telescope at the Lick Observatory in California has a focal length of 57 ft. Part A What is the refractive power of this lens? Express your answer using two significant figures. Part B What focal length (mm) eyepiece would give a magnification of 1000× for this telescope? Express your […]
The distance between the objective and eyepiece lenses in a microscope is 23 cm . The objective lens has a focal length of 6.0 mm . Part A What eyepiece focal length will give the microscope an overall angular magnification of 200? Express your answer to two significant figures and include the appropriate units.
For a patient, a doctor prescribes glasses with a converging lens having a power of 4.0 D. Part A Is the patient nearsighted or farsighted? Part B What is the location of her eye’s near point?
Part A Estimate the diameter of your eyeball. Part B Bring page up to the closest distance at which the text is sharp-not the closest at which you can still read it, but the closest at which the letters remain sharp. If you wear glasses or contact lenses, leave them on. This distance is called […]
A photographer uses his camera, whose lens has a 40 mm focal length, to focus on an object 2.0 m away. He then wants to take a picture of an object that is 40 cm away. Part A In which direction must the lens move to focus on this second object? Part B How far […]
The human eye has a lot in common with a pinhole camera, being essentially a small box with a hole in the front (the pupil) and a detector at the back (the retina). The distance from the pupil to the retina is approximately 24 mm. Part A Suppose you look at a 160-cm-tall friend who […]