Simplify the logical expression \overline{(A+B)}B(A+\bar{C}) and draw the logical circuit to implement it.
Explain the basic structure and operation of an n-channel FET. How FET acts as an amplifier ? Explain.
An electron beam of 4 Kev is diffracted through a Bragg angle of 16^\circ for the first maxima. If the energy is increased to 16 keV, find the corresponding Bragg angle for diffraction.
Derive Bragg diffraction condition in vectorial form using incident and diffracted wave vectors and reciprocal lattice vector.
Distinguish between intrinsic and extrinsic semiconductors. Show that in a semiconductor, the product of concentrations of the two types of charge carriers is constant at a given temperature.
Describe the characteristic properties of a superconductor. Derive London equation for a superconductor and hence explain Meissner effect.
(i) What are intrinsic and extrinsic semiconductors ? Explain. (ii) How are n-type and p-type semiconductors obtained ?
How are the band structures of insulators and semiconductors similar ? How are they different ?
Using OP-AMPs design an analog circuit to solve the following differential equation : \frac{d^2 v}{dt^2} + k_1 \frac{dv}{dt} + k_2 v = v_1(t) with \frac{dv_{(0)}}{dt} = 1\cdot 5\text{ V}; v_{(0)} = 2\cdot 0\text{ V}.
Draw the common-base amplifier circuit, using an n-p-n transistor and briefly discuss its working.
^{235}\mathrm{U} yields two fragments of A=95 and A=140. Obtain the energy distribution of the fission products. Assume that the two fragments are ejected with equal and opposite momentum.
What are quarks ? Give any four properties. Give quark composition of the following particles : p,\quad n,\quad \Lambda^\circ,\quad \Pi^+,\quad K^+
What are the reactor materials used in design and construction of a nuclear reactor and their important functions ?
What are magic numbers in an atomic nucleus and why are they so called ? How is it explained using nuclear shell model ?
Explain the source of energy in stars using proton-proton thermonuclear reaction cycles.
Find the density of ^{12}_6 C nucleus. (Given, nuclear radius of carbon = 2\cdot 7 \times 10^{-15} \text{ m})
What are chain reactions? What do you mean by critical size of the core in which chain reactions take place? What is critical mass?
What do you mean by non-central forces?
Find the total kinetic energy of electron and antielectron neutrino emitted in beta decay of free neutron. (The neutron-proton mass difference is 1.30\,\mathrm{MeV} and mass of electron is 0.51\,\mathrm{MeV})
Show that nucleus is a quantum system.