Search, filter, and study UPSC Civil Services & IFoS Physics past year questions with rigorous derivations, formulas, and step-by-step solutions.
Using Huyghens' construction, discuss the propagation of O and E waves in a biaxial crystal when the optic axis is perpendicular to the plane of incidence and parallel to the boundary surface. Take the incident ray to be oblique.
Water is observed to flow through a capillary of diameter 1.0\text{ mm} with a speed of 3\text{ ms}^{-1} viscosity of water in c.g.s. units is : 0.018 at 0^{\circ}\text{C} 0.008 at 30^{\circ}\text{C} 0.004 at 70^{\circ}\text{C} Calculate he Reynolds numbers, and test at which of these three temperatures is the flow likely to be streamlined.
A neutron having kinetic energy E collides head on with a _{6}^{12}\text{C} nucleus and rebounds perfectly elastically in the direction from which it came. Determine the kinetic energy of the neutron after collision.
Explain clearly why Young's modules Y of a material determines the resistance to bending of a thin rod made of that material. Derive the expression for the work done when a wire of length l and cross-sectional area A is stretched by an amount x(\le l) under a given load corresponding to equilibrium at stretching x.
Calculate the velocity of an electron having kinetic energy 1 MeV.
A rocket is fired vertically up. During the burning of the engine, which lasts for 50\text{ s}, a constant acceleration of 2.0\text{ g} is observed. What is the speed of the rocket at the end of 50\text{ s}? Calculate the maximum height to which the rocket will rise before it begins to fall back. Take = g = 9.80\text{ ms}^{-2} and neglect the variation of g with height.
Calculate the mass of the Sun, given the distance of the Earth from the sun to be 1.5 \times 10^{8}\text{ km}.
The orbit of the earth is an ellipse wite eccentricity 0.0167. Determine the ratio of the maximum speed of the earth to its minimum speed.
A solid sphere of mass 6\text{ kg}, diameter 20\text{ cm}, and uniform density rolls over a surface with a speed of 2\text{ ms}^{-1}. Calculate its kinetic energy.
The earth receives from the Sun 1.37\times 10^{3}\text{ W/m}^{2} of power on the top of the atmosphere. Calculate the mass of the Sun that is converted into energy in one second.
Write a note on Bernoulli's theorem and its applications.
n identical drops of water, each of radius r_{2}, coalesce to form a large drop of radius R. Calculate the energy released in the process and the consequent rise in temperature of water.
Give the basic structure of a n-channel depletion type MOSFET. Draw the drain current-drain voltage characteristics both in depletion as well as in enhancement modes.
Why are NAND and NOR gates called universal gates? Give the logic diagram, Boolean equation and the truth table of NAND gate. Design an OR gate using only NAND gates.
How many types of neutrinos exist? How do they differ in their masses?
State the quantum numbers I_z, Y and S for the uds quarks and antiquarks. Which combination of these leads to the formation of (i) proton and (ii) neutron?
Calculate the Q-value of the reaction: {}^{9}_{4}\mathrm{Be}({}^{4}_{2}\mathrm{He},\mathrm{n}){}^{12}_{6}\mathrm{C} Given: \begin{aligned} \text{Mass }({}^{9}_{4}\mathrm{Be}) &= 9.01283\,\mathrm{u}\\ \text{Mass }({}^{4}_{2}\mathrm{He}) &= 4.002603\,\mathrm{u}\\ \text{Mass }({}^{12}_{6}\mathrm{C}) &= 12.000\,\mathrm{u}\\ \text{Mass }(\mathrm{n}) &= 1.0086652\,\mathrm{u} \end{aligned}
What is the importance of study of deuteron? Obtain the solution of Schrodinger equation for ground state of deuteron and show that deuteron is a loosely bound system.
$. Interpret your result.
Using Maxwell-Boltzmann distribution law prove that there cannot be any negative absolute temperature.