Consider a beam of plane polarised light of wavelength λ is incident on a optical component making angle 45° to the optical axis and output light is circularly polarised then the optical component is
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A particle of mass m, moves under the action of a central force whose potential is V(r) = kmr^{3 }(k > 0 ) , then the angular frequency is _________ .
A particle of mass m moves in a central force field defined by if E is the total energy supplied to the particle, then its speed is given by .
The space  time coordinates of two events as measured by O are x_{1}= 6 * 10^{4} m ,y_{1} = z_{1}= Om, t_{1}’ = 2 * 10^{4}sec and X_{2},= 12 x 10^{4}m, t_{2} = 1 x 10^{4}sec. What must be the velocity of O’ with respect to O if O’ measures the two events to occur simultaneously ?
The value of the surface integral where s is the surface of the sphere x^{2}+ y^{2} + z^{2} = 4, n is the unit outward normal and
Fourier series which will represents f(x) = x sinx in the interval π< x< π, then
will have value
A particle moving in a central force located at r = 0 describes the spiral r = e^{θ}, the magnitude of force is inversely proportional to
Rest mass energy of an electron is 0.51 MeV. A moving electron has a kinetic energy of 9.69 MeV. The ratio of the mass of the moving electron to its rest mass is
A system of four particles is x  y plane. Of these, two particles each of mass m are located at (1, 1) and (1, 1). The remaining two particles each of mass 2m are located at (1, 1) and (1, 1). The xy component of the moment of inertia tensor of this system of particles is 
What is the energy of a uniformly charged spherical shell of total charge q and radius R.
A current I is uniformly distributed over a wire of circular cross section, with radius a, suppose the current density in the wire is proportional to the distance from the axis J = Kx (K is constant)
Find the total current in the wire
For a Gaussian wave packet described by The expectations value of the momentum operator is
The wave function of a particle is given by ψ= c exp (x^{2}α^{2} ) , co where c and a are constants. The probability of finding the particle in the region
A particle is moving with one component of constant velocity parallel to the axis of y and another component of velocity parallel to the axis of x proportional to y. It will describe a
The solution of the differential equation for subject to the initial condition y(O) = 0 and ,is
A nozzle in the shape of a trun cated cone, as shown in the figure. The area at the wide end is 25 cm^{2} and and the narrow end has an area of 1 cm^{2}, water enters the wider end at a rate of 500 gm/sec the height of the nozzle is 50 cm and it is kept vertical with the wider end at the bottom. The magnitude of the pressure difference in k Pa between the two ends of the nozzle is
What is the magnitude of the linear momentum of a photon of radiation having electric field described by e =
Given that the magnetic flux through the closed loop PQRSP is along PQR, the value of along PSR is
Two infinitely extended homogeneous isotropic dielectric media (medium  1 and medium  2 with dielectric constant respectively) meet at the z = 0 plane as shown in the figure. A uniform electric field is given by The interface separating the two media is charge free. The electric displacement vector in the medium 2 is given by
Which of the following truth table for the given logic is true ?
Magnetic flux linked with a stationary loop of resistance R varies with respect to time during the time period T as follows:
Find the amount of heat generated in the loop during that time. Inductance of the coil is negligible
At t = 0, a particle of mass m having v_{0} starts moving through a liquid kept in a horizontal tube and experiences a drag force It covers a distance L before coming to rest. If the times taken to cover the distances are t_{2} and t_{4}, respectively, then
The simplified logic expression for the following logic diagram is
For the logic circuit shown in the figure, the output y is given by
An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 200 H_{2} then the fundamental frequency of the open pipe  The fundamental frequency of the open pipe is
A paint particle of mass M attached to one end of a massless rigid non  conducting rod of length L. Another paint particle of the same mass is attached to the other end of the rod. The two particles carry changes + q and q respectively. This arrangement is held in a region of a uniform electric field E such that the rod makes a small angle with the field direction. Find the minimum time needed for the rod to become parallel to the field after it is set free
Which of the following statement regarding the electric fields is correct
A system of four identical distinguishable particles has energy The single particle states are available at energies Find the average number n(E) of particles in energy e =
Consider 10 atoms fixed at lattices sites. Each atom can have magnetic moment in the z  direction. Let f (μ) denote the probability that the magnetic moment of the system is μ. Assuming statistical mechanics to hold. Find the value of
1 docs34 tests

1 docs34 tests
