A pair of point charges are placed at a separation d as shown in figure. The value of along a path C of radius d is then the value of m is ______ (integer).
A total charge Q is uniformly distributed around a circularting of radius a and infinitesmal thickness. Hie charge density can be written as ( r, φ, z are cylindrical coordinate)
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The electric field at any inside point of a charged sphere of radius R is The potential at r = 2 R is given by
The electrostatic potential in a certain region is given by V (r) = αr^{2}  β . where α and β are two constants and/ * is the distance from die origin. Hie electric flux passing through die sphere of radius? whose centre is at origin is given by
An election travelling from a region of potential V_{1} to higher potential region of potential V_{2.}The change in kinetic energy of the election is proportional to
Suppose six equal charges (q) are placed at the comer of a regular hexagonal of side a. Hie dipole moment of this charge distribution with respect to centre of the hexagonal is given by then the value of α is _______ (an integer)
In a dielectric medium if is the polarization vector and is the electric field then in the relation, is in general a
A phserical shell of radius R and carrying charge Q. Now, if we decrease radius by (R/3) keeping the charge constant then
All election have rest mass m and charge e (e = 1.6 x 10^{19}c). The classical radius of an electron is given by ( c is the velocity of light).
Certain volume current distribution gives rise to the magnetic vector potential where k is a constant. The corresponding current distribution is given by
The magnetic vector potential at any point in a magnetic field region is given by The value of the integral _________. Where c is square in xy plane. (Answer should be an integer)
Consider a rail in the form of a rightangle with one arm along xaxis and the other alog vaxis. A rod placed on the rail slides at a constant velocity There is a uniform magnetic field Assuming that the rod stalls from rest at the origin at time t = 0. The induced emf at time t is given by
In Young double slit experiment, two light sources are placed as shown in figure, the maximum order of visible fringes is
Consider a cylindrical wave guide of radius r = 1.5 meter, then the cutoff frequency of TE_{11} mode is _________ GHz (upto third decimal places)
For two operators the minimum limit of for any random state will be
The angular oscillation frequency of the probability distribution function for a wave function
[where ψ_{n}(x) is the nth state of a 1D Harmonic oscillator of classical frequency 'ω' is _______.
The number of nodes of the radial wave of function of an electron in the 4p state of a hydrogen atom is
Consider a perturbation of the form
is applied in the 1D infinite potential well. The first order energy collection to the 1^{st} excited state is
Two electrons are moving at speeds of 2/5 c and 3/5 c respectively. The ratio of the DeBroglie wave length of the first electron to that of the second electron is.
is a hermitian and is an antihennitian operator. The eigenvalues of the operator will
The first excited state of a 1D harmonic oscillator of frequency 'ω' is
The expectation value of in this is
One clay both Shainim Sir and Sandeep Sir decided to perfomi an experiment in CAREER ENDEAVOUR classroom for that Shamim sir placed a dielectiic sphere of radius R and Sandeep sir applied electric field.
They meausrecl the polarization then Sliamimr sir calculated die surface bound charge and got the result The value of α is____________________(an integer)
A square loop of side a and centre at origin lies in xy plane. Carries current I in clockwise direction. The magnetic field on the xaxis at distance d from the centre of the square loop is given by ______ (upto second decimal places) (Assume d >> a)
Two parallel wires are carrying currents I_{1} and I_{2.} When the currents flow in the same direction the magnetic field at the midpoint between them is 10μT. But if the current flow in the opposite direction then the corresponding field is 40 μT. Then I_{1}/1_{2} is _________________ (upto second decimal places)
The magnetic field for xpolarized plane wave propagating (in a dielectric of refractive index 1.5 along zdirection is given by The Poynting vector of the wave is _______
A HeNe laser beam (λ = 632.8 nm) at radius has 30 mW power. Considering the beam to the uniform over the crosssection. The magnitude of the electric field associated with this beam is _____________ x 10^{3 }V/m. (Upto first decimal places)
Consider a ypolarized electromagnetic wave incident normally on the interface of a dielectric and a perfect conductor The resultant electric field in the dielectric is given by
The lower limit of ΔpΔx^{2} for the ground state of the 1D infinite potential well of width 'a' that ranges from is [Note: you need not calculate the exact value of ΔpΔx^{2 } for the state]
An electron in a hydrogen atom starts out in a state are the ground and the first excited states respectively. The minimum time after which its state will become orthogonal to this initial state, respectively. [ E_{1} is the ground state energy of the Hydrogen atom]
The first born approximation
1. Consists of approximating the scattered wave by a plane wave.
2. Is valid when the average interaction between the incident particles and scattering potential is much larger than the particles kinetic energy.
Which of the above statement(s) is(are) TRUE?
If the spin degrees of freedom of a 2particle system is described by a 24 dimensional Hilbert space. Which of the following could denote the spin of one of the particles involved?
Which of the following expresses the second order energy coll ection to the ground state energy of a mass 'n}' particle in the 1D infinite potential well of width 'a' when a perturbation of the form is a constant of appropriate dimensionality] is applied to it.
If 9 noninteracting spin1/2 particles are placed in a 3D isotropic harmonic oscillator of frequency ω. the ground state energy of the system will be
The spin state of a particle is represented by in the basis. The expectation value of for this state is ______
Consider a 1 D potential Well of the form
The minimum energy of the particle for which the transmission coefficient becomes 1 (The well becomes transparent) is (in units of _______. (Upto 3 decimal places)
The degeneracy level for a state of energy E of a 2D box of length ‘a ’ is
The first excited state energy for a system of 8 noninteracting spin 5/2 particles in the 1D harmonic oscillator of angular frequency ‘ω' of is _________ (In units of hω.)
An energy eigenstate of the hydrogen atom has a wave function.
The value of the azimuthal quantum number associated with this state is______.
A panicle of mass 10^{13} gm is having a wavelength of 6000 with a spread of 600 . The minimum time necessary for the panicle to cross a particular point is ____ x 10^{12} seconds.
Electrons of energy 10 eV are incident on a potential step of height 13.8 eV. The ratio of the probability of finding the particle within the penetration depth (x_{0}) in the classically forbidden region to, the probability of finding it with in a distance of 2x_{0} from the origin is _________ .
[Rest mass of electron = 0.51 MeV/c^{2}, hc = 198 MeV . fm]
Two particles of spin 3/2 and spin1 are at rest in a box and total spin is measured to be 5/2 and its total zcomponent is found to be 3/2. The probability that a measurement of the zcomponent of spin of the spin1 particle is found to be zero is _____.
If the initial state of a system in a 1D harmonic oscillator of frequency 'ω' is.
The expectation value of position at
The probability of finding h/2 upon a measurement of on a spin 1/2 particle whose spin state is given by
is ______.
A particle in a 1D harmonic oscillator of frequency ‘ω' starts out in a state
The probability of finding the energy of the particle to be hω/2 at time ‘t' is ______.
The wave function of a particle is represented by,
The average momentum of the particle is______.[in units of πh/a]
The wave function of a particle is given by in a potential of the form V ( x ) = The value of ‘k ’ in units of mα/h^{2} is ________.
Suppose due to some charge distribution the electric field at the point p(r,θ) is
The equation o f field line is given by
Consider a uniformly polarized cube of dielectric of side a with uniform polarization where P_{0} is a constant as shown in figure . The value of and over the closed surface S which cuts through the dielec tiic completly enclosing the upper surface are respectively (all the dimension of the rectangle surface are larger than a)
Suppose a charge q moving on a ringe of radius R with constant velocity v.the rate of cliange of electric field at the centre of the ring is given by
A spiral coil of outer radius R and having N(≫1), is placed in a magnetic field 5 = 0.5 cos(314t)z . The emf generated in the coil is given by
Consider an infinitely long air fielled selonoid of radius a.The magnetic field is given by
The induced electric field is given by
1 docs34 tests

1 docs34 tests
