A beam of protons enters a uniform magnetic field of 0.3 Tesla with a velocity of 4 x 10⁵ m/sec at an angle of 60° to the field. The radius of the helical path taken by the beam is
The length of a metal wire is l1 when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is __________
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A particle travelling along the positive X- axis with energy E incident on a potential barrier (Vo), which of the following represent the correct wave- form for Vo > E ?
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 ?
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 30o 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 ______
For an n- p- n transistor connected as shown in the figure. VBE = 0.7V. Given that reverse saturation current of the junction at room temperature 300o 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 SZ(1), SZ(2) and SZ(3) can take any value +1/2 and - 1/2. The total spin of the system is SZ = SZ (1) + SZ (2) + SZ (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:-