A He–Ne laser beam is reflected from the surface of a CD onto a wall. The brightest spot is the reflected beam at an angle equal to the angle of incidence. However, fringes are also observed, at different angles of reflection. The wavelength of a He-Ne laser is λ = 633 nm.  If the wall is 1.45 m from the CD, and the first fringe is 0.615 m from the central maximum, what is the spacing of grooves on the CD, in meters?

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 =

A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?

In a Newton’s-rings experiment, a plano-convex glass (n = 1.52) lens having radius r = 5.00 cm is placed on a flat plate as shown . When light of wavelength λ = 650 nm is incident normally, 55 bright rings are observed, with the last one precisely on the edge of the lens. (a) What is the radius R of curvature of the convex surface of the lens? (b) What is the focal length of the lens?

An X-ray beam of wavelength 3.4 × 10-10 m makes an angle of 27° 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).

A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.

A helium-neon laser (2=632.8 nm) is used to calibrate a diffraction grating. If the first-order maximum occurs at 20.0°, what is the spacing between adjacent grooves in the grating? (In this problem, assume that the light is incident normally on the grating.) um

A laser beam is normally incident on a diffraction grating. The wavelength of the incident light is 1 = 560 nm, and the third-order maximum of the diffraction pattern is measured to be at an angle of 32.0°. (a) What is the density of rulings for the grating (in grooves/cm)? grooves/cm (b) Determine the total number of primary maxima that can be observed in this situation. primary maxima Need Help? Read It

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 interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.