Question

(C) (i) Never shine a green laser at anyone, especially not at an airplane, since the pilots can see the beam. Some fool did this in 2002, and the F. B. I. arrested him on domestic terrorism charges. Suppose that a green laser shines light with wavelength = 5.32 x 10- m. This light travels outward from the laser through a circular aperture that is 3.00 mm in diameter. How many meters in diameter is the beam, at a jet airliner altitude of 30,000.0 feet? (Recall that 1 foot = 0.3048 m.) (ii) Microscopes are inherently limited in resolution by the wavelength they use. An electron microscope uses electrons that have been accelerated through a potential difference of 50,000 V. How much smaller detail can this electron microscope resolve than with a microscope that uses visible light with = 5.5 x 10-7 m? (Recall that U = 9V, where U = electric potential energy, q = electron charge and V = the potential difference, and assume the electrons are non-relativistic, with v <<C.) (iii) Unpolarized light passes through a single polarizing filter. The filter's polarization axis is vertical, with @= 90°. What is the intensity of the light that is transmitted through the filter? Express your answer as I/Imax, which is the fraction of the intensity of the polarized light to the intensity of the initial, unpolarized light. (iv) Unpolarized light is passed through three successive polarizing filters, each with its transmission axis at 30.0° to the preceding filter. What fraction of the intensity of the initial, unpolarized light gets through all three filters? (v) A photon with a wavelength of X= 5.0 x 10-11 m is scattered straight backward after colliding with an initially stationary electron. What is the wavelength of the scattered photon (in meters)?