A classical particle has total energy E. The plot of potential energy (U) as a function of distance (r) from the centre of force located at r = 0 is shown in the figure. Which of the regions are forbidden for the particle?
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In the thermal neutron induced fission of ^{235}U, the distribution of relative number of the observed fission fragments (Yield) versus mass number (A) is given by
Which one of the following crystallographic planes represent (101) Miller indices of a cubic unit cell?
The FermiDirac distribution function [n(ε)] is (k_{B} is the Boltzmann constant, T is the temperature and ε_{F} is the Fermi energy)
If Ø (x,y,z) is a scalar function which satisfies the Laplace equation, then the gradient off is
In a heat engine based on the Carnot cycle, heat is added to the working substance at constant
For using a transistor as an amplifier, choose the correct option regarding the resistances of baseemitter (R_{BE}) and basecollector (R_{BC}) junctions
A unit vector perpendicular to the plane containing and is
A thin lens of refractive index 3/2 is kept inside a liquid of refractive index 4/3. If the focal length of the lens in air is 10 cm, then its focal length inside the liquid is
A quantum particle confined inside a cubic box of side L, the ground state energy is given by E_{0}. The energy of the first excited state is
A small spherical ball having charge q and mass m, is tied to a thin massless nonconducting string of length l. The other end of the string is fixed to an infinitely extended thin nonconducting sheet with uniform surface charge density σ . Under equilibrium, the string makes an angle 45° with the sheet as shown in the figure. Then σ is given by (g is the acceleration due to gravity and ε_{0 }is the permittivity of free space)
Consider the normal incidence of a plane electromagnetic wave with electric field given by ω over an interface at z = 0 separating two media [wave velocities v_{1} and v_{2} (v_{2} > v_{1}) and wave vectors k_{1} and k_{2}, respectively] as shown in figure. The magnetic field vector of the reflected wave is (ω is the angular frequency)
The output of following logic circuit can be simplified to
A red star having radius r_{R} at a temperature T_{R} and a white star having radius r_{W} at a temperature T_{W} , radiate the same total power. If these stars radiate as perfect black bodies, then
The mass per unit length of a rod (length 2 m) varies as ρ = 3x kg/m. The moment of inertia (in kg m^{2}) of the rod about a perpendicularaxis passing through the tip of the rod (at x = 0) is
For a forward biased pn junction diode, which one of the following energyband diagrams is correct?
(ε_{F} is the Fermi energy)
The amount of work done to increase the speed of an electron from c/3 to 2c/3 is (c = 3×10^{8} m/s and rest mass of electron is 0.511 MeV)
The location of Cs^{+} and Cl^{–} ions inside the unit cell of CsCl crystal is shown in the figure. The Bravais lattice of CsCl is
A γray photon emitted from a ^{137}Cs source collides with an electron at rest. If the Compton shift of the photon is 3.25 × 10^{–13} m, then the scattering angle is closest to (Planck’s constant h = 6.626 × 10^{–34} J s, electron mass me = 9.109 × 10^{–31} kg and velocity of light in free space c = 3×10^{8} m/s)
During free expansion of an ideal gas under adiabatic condition, the internal energy of the gas
In the given phase diagram for a pure substance, regions I, II, III, IV, respectively represent
Light of wavelength λ (in free space) propagates through a dispersive medium with refractive index n(λ)=1.5 + 0.6λ. The group velocity of a wave travelling inside this medium in units of 10^{8} m/s is
The maximum number of intensity minima that can be observed in the Fraunhofer diffraction pattern of a single slit (width 10 µm) illuminated by a laser beam (wavelength 0.630 µm) will be
During the charging of a capacitor C in a series RC circuit, the typical variations in the magnitude of the charge q(t) deposited on one of the capacitor plates, and the current i(t) in the circuit, respectively are best represented by
Which one of the following is an impossible magnetic field ?
If the motion of a particle is described by x = 5 cos(8πt), y = 5 sin(8πt) and z = 5t, then the trajectory of the particle is
A ball of mass m is falling freely under gravity through a viscous medium in which the drag force is proportional to the instantaneous velocity v of the ball. Neglecting the buoyancy force of the medium, which one of the following figures best describes the variation of v as a function of time t?
29 docs48 tests

29 docs48 tests
