In a double-slit experiment, the fourth-order maximum for a wavelength of 450 nm occurs at an angle of u = 90°. (a) What range of wavelengths in the visible range (400 nm to 700 nm) are not present in the third-order maxima? To eliminate all visible light in the fourth-order maximum, (b) should the slit separation be increased or decreased and (c) what least change is needed?

An X-ray beam of wavelength 3.4 × 10-10 m makes an angle of 33° with a set of planes in a crystal which results in first order constructive interference.  Determine the plane spacing in nanometers. (Please include 2 decimal places).

In a location where the speed of sound is 332 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first-order maximum located? O (b) If the sound wave is replaced by 2.55 cm microwaves, what slit separation gives the same angle for the first-order maximum? cm (c) If the slit separation is 1.00 μm, what frequency of light gives the same first-order maximum angle? Hz

To make a hologram using an Argon laser (1 = 0.488 µm), the maximum angle between objective and reference beams is 0max resolution (or spatial frequency) of the holographic recording film (fo – lines per mm)? 40°. What is the requirement on the minimum 0.633 um). Assume that z, When the hologram is reconstructed using a HeNe laser (A 10cm, z, = 2z,, Zp transversal and axial magnification (M; and Ma). = 00, please compute virtual and real image locations (Fz;), the

Consider the following. (a) Find the angle (theta)  locating the first minimum in the Fraunhofer diffraction pattern of a single slit of width 0.210 mm, using light of wavelength 555 nm.(b) Find the angle locating the second minimum.

There is a circular slit with its radius a = 0.1mm. The distance between the slit plane and detector plane is given by R=1m. Roughly estimate the requirement of the wavelength of incident light for Fraunhofer diffraction with appropriate justification.

In a Young’s double-slit experiment, two parallel slits with a slit separation of 0.100 mm are illuminated by light of wavelength 589 nm, and the interference pattern is observed on a screen located 4.00 m from the slits. (a) What is the difference in path lengths from each of the slits to the location ofthe center of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the center of the third dark fringe away from the center of the pattern?