Test Report Of Minor Test - 01 - Physics MCQ

The electrostatic potential in a certain region is given by V (r) = -αr² - 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 V₁ 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^-19c). 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 right-angle with one arm along x-axis and the other alog v-axis. 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 cut-off frequency of TE₁₁ mode is _________ GHz (upto third decimal places)

Which of the following statements) is/are TRUE?

For two operators  the minimum limit of   for any random state will be 

Which of the following operators are Hermitian?

The ground state energy of Li²⁺ is 

The angular oscillation frequency of the probability distribution function for a wave function

[where ψ_n(x) is the nth state of a 1-D 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 1-D 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 De-Broglie wave length of the first electron to that of the second electron is.

 is a hermitian and  is an anti-hennitian operator. The eigenvalues of the operator  will 

The commutator  is given by

The first excited state of a 1-D 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 x-axis 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 I₁ and I_2. When the currents flow in the same direction the magnetic field at the mid-point between them is 10μT. But if the current flow in the opposite direction then the corresponding field is 40 μT. Then I₁/1₂ is _________________ (upto second decimal places)

The magnetic field for x-polarized plane wave propagating (in a dielectric of refractive index 1.5 along z-direction is given by  The Poynting vector of the wave is _______

A He-Ne laser beam (λ = 632.8 nm) at radius has 30 mW power. Considering the beam to the uniform over the cross-section. The magnitude of the electric field associated with this beam is _____________ x 10³ V/m. (Upto first decimal places)