A beam of X-rays is incident on a crystal whose planes of atoms have a spacing o

Question

A beam of X-rays is incident on a crystal whose planes of atoms have a spacing of 0.314 nm. A second-order maximum is observed for diffracted x-rays making an angle of 24.1 degree with the plane of atoms. What is the wavelength of these X-rays? About 0.26 nm About 0.39 nm About 0.13 nm About 1.04 nm About 0.52 nm A beam of light linearly polarized in the vertical direction is travelling horizontally towards the observer. It is incident on a perfect polarizing sheet oriented so its transmission axis is 30 degree left of vertical, and then through another perfect polarizer with transmission axis horizontal. What fraction of the incident beam intensity reaches the observer? .43 .87 0 .19 .75 In which of the following situations is there a total internal reflection? (n_air = 1 and n_water = 1.33) Light propagating in water strikes a water-air interference at an incident angle of 35 degree Light propagating in air strikes an air-water interference at an incident angle of 60 degree Light propagating in water strikes a water-air interference at an incident angle of 55 degree Light propagating in air strikes an air-water interference at an incident of 30 degree Light propagating in air strikes an air-water interference at an incident angle of 70 degree

Explanation / Answer

11.

the wavelength for second order maxima (m = 2) is calculated as follows:

   2*d*sin@ = m*(wavelength)

wavelength = 2*d*sin@ /m

                   = 2*0.314*sin24.1 / 2

                   = 0.128 nm

                   = 0.13 nm

option (c) is correct.

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