Q. 1. Answer any six questions :
(i) How many electrons are present in one Coulomb? 1
(ii) What is quantisation of charge ? 1
(iii) If the work function of a metal is 2.5 eV, calculate the stopping potential.
(iv) What is Planck’s constant ? Give its SI units. 1
(v) There are two photons having wavelength 2000 A and 3000 A respectively. Which one posseses more energy ? 1
(vi) Explain binding energy. I
(vii) Calculate the rest mass energy of an electron in MeV.
(viii) What is an atomic mass unit ?
Q. 2. State the fundamental postulates of Bohr’s theory of hydrogen atom. On the basis of these postulates, derive expres¬sions for the radius and energy of an an electron in the n th orbit.
Q. 3. (a) Describe Millikan’s oil drop experiment for the determination of charge of an electron giving necessary theory. 5
(b) A charged oil drop is made stationary by a uniform electric field of 3 x 104 volt/m. Find the charge on the drop of its mass if its mass is 10~14 kg.
Q. 4. What do you understand by Compton effect ? Show that the change in wavelength of an X-ray photon on scattering from a free electron is independent of the wavelength of the incident photon.
Q. 5. (a) Derive the law of radioactive decay. Explain radioactive constant, half life and mean life period. Establish a relation between them. 4
(b) Explain the conditions under which secular and transient radioactive equilibrium takes place.
Q. 6. (a) Distinguish between fission of a nucleus and fusion of two nuclei, illustrating each process by an example. 2
(b) Describe chain reaction and its uses in reactors. 2
(c ) Calculate the energy released by fission of 1 kg of Ura-nium-235 in kWh. Assume the energy per fission event is 200 MeV.
Useful constants :
Electronic charge e = 1,6 x 10-19 C
Electronic mass m = 9.1 x 10~31 kg
Planck constant h = 6.62 * 10*34 J-s
Q. 7. Write notes on any two of the following:
(i) Rutherford scattering; 4
(ii) Aston’s mass spectrograph; 4
(iii) Zeeman effect.