A diffraction grating has 500 lines per millimetre and is illuminated normally by monochromatic light of wavelength 600 nm. The total number of images seen on both sides of the normal including the central image is: A 5 B 10 с 7 D 8 B
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- Problem 2. Suppose that a Michelson interferometer is illuminated by a source emitting a doublet of vacuum wavelengths, 21 and 22. As one mirror is moved, the fringes periodically disappear and then reappear. If a displacement Ad of the mirror causes a one-cycle variation in fringe visibility, derive an expression for Ad in terms of Aλ = 2-1. Then calculate Ad for the sodium doublet, where λ₁ = 588.995 nm and 2 = 589.592 nm.A diffraction grating has 300 lines per mm. If light of frequency 4.76 × 1014 Hz issent through this grating, at what angle does the first order maximum occur? 22o 44o 28o 56o 11oA diffraction grating of diameter 1cm and 400 lines/mm is illuminated by white light at normal incidence. The diffracted light from second order is then focused by a camera lens of focal length f onto an electronic image detector, with the lens and detector aligned to the diffracted light at λ = 550 nm. - If the detector width is 2 cm, calculate the maximum value of f so that the whole wavelength region 400 nm to 700 nm is observed on the detector. Also, calculate the maximum detector pixel size in order that two wavelengths near 550 nm and separated by the minimum resolvable λ are separated by at least 2 pixels on the detector.
- A diffraction grating has 2000 lines/cm. What is the angle between the first-order maxima for red light (λ = 720 nm) and blue light (λ = 500 nm)?A diffraction grating has a grating constant of 415 lines/mm. If composite light with wavelengths of 601 nm and 461 nm are incident upon the grating, what is there angular separation in the 1st order spectrum? Answer this with a positive number of degrees.Problem 10: Consider a diffraction grating through which monochromatic light (of unknown wavelength) has a first-order maximum at 22°. At what angle, in degrees, does the diffraction grating produce a second-order maximum for the same light?
- A diffraction grating is 2.30 cm wide and contains 2100 lines. When used with light of a certain wavelength, a third order maximum is formed at an angle of 21.0 degrees. What is the wavelength (in nm)?A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.