Model Test Physics - 2017 - IIT JAM MCQ

A parallel beam of light travelling in water (refractive index = 4/3) is refracted by a spherical air bubble of radius 2mm situated in water. Assuming the light rays to be parallel, find the position of the final image ?

Which of the following matrices is hermitian ?

The normalized wave function of the hydrogen atom for 1st state is    where    being the Bohr radius. The expectation value of potential energy in this state is __

An AC source producing emf  is connected in series with a capacitor and a resistor. The steady- state current in the circuit is found to be    Which of the following depicts the correct relation?

A neutron moving with speed V makes a head on collision with a hydrogen atom in ground state kept at rest find the minimum kinetic energy of the neutron for which inelastic collision may take place if neutron and hydrogen atom travel with velocity V₁ and V₂ respectively after collision?

The correct curve between intensity of magnetisation (I) and magnetic field (H) for a ferromagnetic substance is given by.

The group velocity of electromagnetic waves moving with phase velocity c in a dispersive medium of refractive index n is given by :

The radii of Cs and Cl are r₁ and r₂ respectively the lattice constant if it crystallizes in bcc structure is :

The momentum of an electron (mass m) which has the same kinetic energy as its rest mass energy is:

If at t = 0 the particle is in state    where  re the ground and first excited states, respectively for a particle in a cubical box of size a, the state vector ψ(x, t), for t > 0 in the Schrodinger picture is:

  then the average value of the position vector in the range – L/2 to + L/2 is given by

The electric field of a wave propagating in the x – y plane, with wave vector k^→
making an angleof 30^o with the x- axis is:

The correct plot for the equivalent one dimensional potential for an attractive inverse fourth law of force :

The Lorentz transformation are equivalent to rotation of axes in four dimensional space through an imaginary angle ______

The transistor gain of the circuit shown in the figure is given by ______

The total energy of an ionic solid is given by   where a is the Madelung constant, r is the distance between the nearest neighbour in the crystal. If r0 is the equilibrium separation then the constant B is given by ______

In a simple cubic lattice d₁₀₀ : d₁₁₀ : d₁₁₁ is _____

Order and degree of the differential equation 

For an n- p- n transistor connected as shown in the figure. V_BE = 0.7V. Given that reverse saturation current of the junction at room temperature 300^o k is 10^-13 A, the emitter current is ______

A two dimensional lattice has that basic vectors  The basic vectors of the reciprocal lattice will be ____

XY is an infinite line charge distribution. P and Q are points as shown. The ratio of electric field at P and Q is :

A system consists of three spin half particles the Z- component of whose spin S_Z(1), S_Z(2) and S_Z(3) can take any value +1/2 and - 1/2. The total spin of the system is S_Z = S_Z (1) + S_Z (2) + S_Z (3). The total number of possible micro states for this system is _______

The output voltage of a certain op- amp appears as shown in figure in response to a step input,

The slew rate is :

The figure shown in the energy level diagram corresponds to a

If we introduce the operators

AND

Then which relation is correct:-