The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4 500 lines/cm?

632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 21.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) μm A helium-neon laser (1 =

The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600. nm, and the screen is 1.9 m from the slit. (a.) What is the width of the slit in microns? (D= ?)  (b.) What is the ratio of the intensity at 4.2mm from the center of the pattern to the intensity at the center of the pattern? (I/I0= ?)

A laser with a wavelength of λ = 401 nm is incident on a diffraction grating. The m = 3 maxima appears a distance of y = 2.00 cm from the central maximum when the screen is placed X = What is the diffraction angle for this m = 3 maxima? 0 = What is the slit separation, d, in nm? d = nm How many lines/cm does the grating have in lines cm lines cm ? 90 cm from the grating.

White light hits a diffraction grating with lines that are spaced d = 1729 nm apart. What wavelength (λ) has its first order maximum (m = 1) diffracted to an angle of θ = 21.0º? Your answer should be in nanometers (nm)

4. Two mirrors with the same power reflectivity R are utilized to form a Fabry-Perot resonator. If the separation of the two mirrors is L and the refractive index inside the resonator is n, what is the Free Spectral Range Af of the resonator in the frequency (not the angular frequency Aw) domain? Here the Free Spectral Range (FSR) is the optical frequency spacing between two successive reflected/transmit ted optical intensity maxima/minima of a resonator.

Potassium iodide (KI) has the same crystalline structure as NaCl, with atomic planes separated by 0.353 nm. A monochromatic x-ray beam shows a first-order diffraction maximum when the grazing angle is 8.60°. Calculate the x-ray wavelength. nm

A transmission grating has 5,900 lines/cm. Light in the range from 400 nm to 720 nm impinges perpendicularly on the grating. How big is the angular width of the first-order spectrum?

An electric current through an unknown gas produces several distinct wavelengths of visible light. Consider the first order maxima for the wavelengths 403 nm, 428 nm, 511 nm, and 682 nm of this unknown spectrum, when projected with a diffraction grating of 5,000 lines per centimeter.Randomized Variablesλ1 = 403 nmλ2 = 428 nmλ3 = 511 nmλ4 = 682 nm Part (a)  What would the angle (in degrees) be for the 403 nm line?   Part (b)  What would the angle (in degrees) be for the 428 nm line?   Part (c)  What would the angle (in degrees) be for the 511 nm line?   Part (d)  What would the angle (in degrees) be for the 682 nm line?    Part (e)  Using this grating, what would be the angle (in degrees) of the second-order maximum of the 403 nm line?

The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4982 lines/cm? (Assume that the light is incident normally on the grating.) first order separation second order separation third order separation