The density of gold in its proper frame of reference is 19.3 \times 10\text{ kg/m}^3. Determine its density is a frame of reference where its velocity is 0.9 c. c is velocity of light in free space.
Determine the speed of an electron which has kinetic energy 1\text{ MeV}. The energy equivalent to the rest mass of an electron is 0.51\text{ MeV}.
A stream of liquid of density \rho and speed v is directed against a plane surface at an angle \theta with the normal to the surface. After striking the surface the liquid spreads over it. Find the pressure on the surface.
Distinguish between stream-line motion and turbulent motion. Hence define Reynold’s number. A sphere of radius 0.1\text{ cm} moves through glycerine. A laminar flow is observed when the velocity of the sphere does not exceed 15\text{ cm/s}. At what minimum velocity of a sphere of radius 5\text{ cm} will the flow in water become turbulent? Viscosity coefficient for glycerine \eta_{\text{gly}} = 14\text{ p} and for water \eta_{\text{wat}} = 0.011\text{ p}, and density of glycerine = 1.2\text{ gm/cc}.
Write a short note on Gyroscope.
What is the difference between the frequency spectrum of amplitude modulated wav and frequency modulated waves? Give a circuit for the detection of frequency modulated waves.
Explain the construction and working of a p -n junction solar cell.
Derive an expression for magnetic susceptibility below Neel's temperature for a ferromagnetic substance.
Draw a circuit using AND, OR and NOT gate to realize the following truth table:
| \text{INPUTS} | \text{OUTPUT} | ||
| A | B | C | Y |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Explain parity violation in b decay.
Whet are the conservation jaws of elementary particles? How are these applied to Leptons and Baryons?
What is helicity of a neutrino? How is it measured?
Describe and experiment that confirms the existence of neutrino.
Establish the necessary equation for the liquid drop model of a nucleus. How does it explain fission?
Discuss the gross and fine structure of electronic band spectra of a diatomic molecule.
Give the theory of vibration-rotation spectra of diatomic molecules. Explain the nature of P, Q, R branches.
Describe briefly how it is possible to determine the elements present at the surface of a given star.
Find the energy Ligenvalues of a one dimensional harmonic oscillator whose Hamiltonian is given by H = \frac{P^2}{2m} + \frac{1}{2} k x^2
A 10 ohm resistor carrying 3 ampere current is cooled by running water so as to keep the temperature at 300 K. Discuss the change in entropy per second (i) of the resistor (ii) of the universe.
Establish the following relation using Carnot's principle. \frac{dp}{dT} = \frac{JL}{T(V_2 - V_1)} The symbols have usual meanings.