Calculate the wavelength of X-rays which produces a first order diffraction angle `2theta`  equal to `16.8^(@)` for a crystal. Inter planar distance of crystal is 200 pm.

Calculate lambda of X-rays which give a diffraction angle 2 theta = 16.8^(@) for crystal, if the interplanar distance in the crystal is 0.2 nm and that only for the first-order diffraction is observed. Given sin 8.40^(@) = 0.146 .

Calculate the angle at which first order reflection will occur in an X-ray spectrometer when X-rays of wavelength 1.54Å are diffracted by the atoms of a crystal given that interplanar distance is 0.04Å .

The energy of stable states of the hydrogen atom is given by E_(n)=-2.18xx10^(-8)//n^(2)[J] where n denotes the principal quantum number. Calculate the de Broglie wavelength of the electrons emitted from a copper crystal when irradiated by photons from the first line and the sixth line of the Lyman series. h=6.6256xx10^(-34) J s," "m_(e)=9.1091xx10^(31) kg," "c=2.99792xx10^(8) m s^(-1)

The second order Bragg diffraction of X-rays with lambda=1.0 Å from a set of parallel planes in a metal occurs at an angle 60^(@) . The distance between the scattering planes in the crystals is

Visible light of wavelength 500 nm falls normally on a single slit and produces a diffraction pattern. It is found that the diffraction pattern is on a screen 1 m away from slit. If the first minimum is produced at a distance of 2.5 mm from the centre of screen, then the width of the slit is

Visible light of wavelength 500 nm falls normally on a single slit and produces a diffraction pattern. It is found that the diffraction pattern is on a screen 1 m away from slit. If the first minimum is produced at a distance of 2.5 mm from the centre of screen, then the width of the slit is

For Bragg's diffraction by a crystal to occur, then the X-ray of wavelength lambda and interatomic distance d must be

(a) Describe any two characteristic features which distinguish interference and diffraction phenomenon. Derive the expression for the intensity at a point of the interference pattern in Young.s double slit experiment. (b) In the diffraction due to a simple slit experiment, the aperture of the slit is 3 mm. If monochromatic of wavelength 620 nm is incident normally on the slit, calculate the separation between the first order minima and the third order maxima on one side of the screen. The distance between the slit and the screen is 1.5 m.

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

Calculate the wavelength of light used in an interference experiment from the following data: Fringe width = 0.03 cm. Distance between slits and eyepiece through which the interference pattern is observed is 1 m. Distance between the images of the virtural when a convex lens of focal length 16 cm is used at a distance of 80 cm from the eyepiece is 0.8 cm.