Consider a single slit that produces its first minimum at 54° for 590 nm light. Randomized Variablesθ1 = 54 ° θ1 = 54 ° θ2 = 67 ° λ1 = 590 nm Part (a) What is the width of the single slit, w, in nanometers? Numeric : A numeric value is expected and not an expression. w = __________________________________________ Part (b) Find the wavelength, in nanometers, of light that has its first minimum at 67°. Numeric : A numeric value is expected and not an expression. λ2

A double-slit arrangement produces interference fringes that have an angular separation of 5.14 × 10-3 rad for light with a wavelength of A = 429 nm. For what wavelength would the angular separation be 14.6% greater? Number i Units

If you can read the bottom row of your doctor's eye chart, your eye has a resolving power of one arcminute, equal to 1.67×10−2 degrees. if this resolving power is diffraction-limited, to what effective diameter of your eye's optical system does this correspond? Use Rayleigh's criterion and assume that the wavelength of the light is 540 nmnm . Express your answer in millimeters to three significant figures. in nm

An infrared lamp has a wavelengh of 1230 nm. Solve for the frequency of the lamp if the speed of light is 3X108m/s. ans: 2.44X1014 Hz A UV light has a frequency of 8X1014Hz. solve for the wavelengh of the lamp if the speed of light is 3X108m/s. ans: 375nm Show Work

3. A Cu target emits an X-ray line of wavelength = 1.54 Å. a) Given that the Bragg angle for reflection from the (111) planes in Al is 19.2°, compute the interplanar distance for these planes. Recall that aluminum has an fcc structure. b) Knowing that the density and atomic weight of Al are, respectively, 2.7 g/cm3 and 27.0, compute the value of Avogadro's number.

Plz do fast asap

Incident nA = SQ + QT (3.19) na = dnki sin 0+ dnki sin 0 (3.20) = 2drki sin 0 H.W. Derive equation 3.20 (Bragg's Law) from equation 3.19 using trigonometry formulas.

Light waves, for which the electric field is given by Ey(x,t) =Emaxin|(2x107m-1)x-wt], pass through a slit and produce the first dark bands at ‡30• from the center of the diffraction pattern. What is the frequency of this light?  How wide is the slit?  At which positive angle will the next dark band occur?

If I have a light with a frequency of 5 x 10^14 what is the wave length in nm?

air 1. n = 1 [a] The figure shows a soap film of thickness dį in air. Light impinges on the film with an angle of incidence 01 and is reflected and refracted at the interfaces. Rays 1 and 2 represents reflected light, while rays 3 and 4 represent light that has been transmitted into the glass. soap \[c] n, = 1.33 |d [b] air n= 1 3 4 The bracketed letters (a], [b], and [c] indicate reflections at the air-soap, and soap-air interfaces. For which of these reflections does a phase change of n occur? Check all that apply. [a] [b] O (c)