Consider a microscope that uses ultraviolet light of frequency f = 1.05 * 10 ^15 Hz. f = 1.05 * 10^15 Hz Ignoring the details of the optical system, what is the approximate size d, in meters, of the smallest feature observable through this microscope?
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Consider a microscope that uses ultraviolet light of frequency f = 1.05 * 10 ^15 Hz.
f = 1.05 * 10^15 Hz
Ignoring the details of the optical system, what is the approximate size d, in meters, of the smallest feature observable through this microscope?
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- The resolving power of a microscope depends on the wavelength used. If you wanted to "see" an atom, a wavelength of approximately 1.00 x 10-11 m would be required.If photons are used, what is the minimum energy is required for obtaining required resolution?Often in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0015 W to reach an intensity of I = 350 W/cm2 by focusing it through a lens of focal length f = 0.15 m. The beam has a radius of r = 0.0011 m when it enters the lens.Randomized VariablesP = 0.0015 WI = 350 W/cm2f = 0.15 mr = 0.0011 m Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?) Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f? Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.Consider a microscope that uses ultraviolet light of frequency f = 1.5 × 10 15 Hz. Ignoring the details of the optical system, what is the approximate size d, in meters, of the smallest feature observable through this microscope?
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