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6.A] Form the partial differential equation from π(π₯ + π¦ + π§, π₯2 + π¦2 + π§2) = 0 Answer:-
5.B] Solve , given that when x = 0, z = 1 and
8. B) Using Lagrangeβs interpolation formula, fit a polynomial which passes through the points (β1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when π₯ = 2.2 Answer:-
6.C] Solve = Z given that when y=0, z=ex and = e-x . Answer:-
6.B] Solve π₯2(π¦ β π§)π + π¦2((π§ β π₯)π = π§2(π₯ β π¦) Answer:-
9.C] Determine the wavelength of X-rays for crystal size of 1.188Γ10-6 m, peak width is 0.5o and peak position 30o, for a cubic crystal. Given Scherrerβs constant k=0.92. Answer:-
10.C] The first order Bragg reflection occurs when a monochromatic beam of X-rays of wavelength 0.675Ao is incident on a crystal at a glancing angle of 4o. What is the glancing angle for third order Braggβs reflection to occur? Answer:-
10.B] With neat diagram, explain the principle, construction and working of X-ray photoelectron spectroscope. Answer:- Principle Surface analysis by XPS involved irradiation of the sample by low-energy (and mono-energetic) X-rays and the subsequent analysis of the energy of emitted electrons.β¦
