18

19,
20,
21
22,

24,

25,

26.

27,

28.

29.
30,
31.

32.

33.
34.

35.

+ Section (1

Answer any five questions.
Derive the expression for gravitational red sift.
Explain the working of cleetron microscope using a diagram.
Explain Frank Horty experiment + uation.
Dorive tho steady stato Schrodingor equation from time dependent Behrodinger °F
Write a short note on scanning tunneling microscope.
Give the idea of allowed transition and forbidden transition.
Explain Zeeman effect.

(5 x 4 = 20 marks)

Section D

Answer any four questions.

What potential difference must be applied to stop fastest photoelectrons emitted by a surface when

electromagnetic radiation of frequency 1.5 x 10!5Hz is allowed to fall on it. The work function of
the surface is 667,

X-rays of wave length 80pm are scattered 120° by a largest. Find out the scattered wave length.

Calculate the de-Broglie wave length of an electron having kinetic energy of 1000eV. Compare
the result with the wave lengths of X-rays having same energy.

The average life time of an excited atomic state is 10~%s. If the spectral line associated with the
decay of this state is 6000A°, estimate the width of the line.

Calculate the maximum wave length that Hydrogen in its ground state can absorb.

Find the expectation value of the position of a particle trapped in a box L wide.

Find ‏وان‎ normalization constant ‘A’ of the azimuthal wave function for Hydrogen atom, with
0 = 4९“ ` `

। (4 x 4 = 16 marks)
Section E

Answer any two questions,
What is Compton effect ? Derive the expression for shift in the wave
wr salien
features of Compton effect. length 7 Write the t
Derive the energy eigen values and eigen function of partied co nfined in a box
Obtain the Schrodinger equation for Hydrogen atom in spherical ताः ५
the differential equation for r, 6, by using separation of variable me

What are matter waves ? Derive the ex
Davisson- Germer experiment to establish

°0-ordinates and obtain
thod.

Pression for wavelength of mat
ter w ۱
the wave nature of particle, Waves. Describe

(2 » 10 = 20 marks)