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
A solid sphere is in pure rolling motion on an inclined surface having inclination θ :
The linear mass density of a rod of length L varies from one end to the other aswhere x is the distance from one end with tensions T_{1 }and T_{2} in them (see figure) and λ_{0} is a constant. The rod is suspended from a celling by two massless strings. Then, which of the following statements is/are correct
Let m_{p }be the mass of proton. m_{n} the mass of neutron. M_{1} the mass of nucleus and M_{2} the mass of nucleus. Then :
Consider the following statement regarding radioactive element emitting β  particle :
Which of the following are correct ?
The graph between 1/λ and stopping potential (v) of three metals having work function in an experiment of photoelectric effect is plotted as shown in the figure. Which of the following statement is / are correct ?
A long straight conductor, carrying a current I is bent into the shape shown in the figure.The radius of the circular loop is 'r' .The magnetic field at the centre of the loop is :
The doping of a semiconductor is such that the electron density in the conduction band is given by n = (x) = n_{i} (1 +gx). Find incorrect expression/s for the electric field intensity in the conduction band.
A simple pendulum performs simple harmonic motion about x = 0 with an amplitude A and time period T. The speed of the pendulum at x = A/2 won’t be:
A screen is placed 50 m from a single slit, which is illuminated with 6000 light. If distance between the first and third minima in the diffraction pattern is 3,000 mm, which of the following is/are not the width of the slit?
An unpolarized beam of light is incident on a group of four polarizing sheets which are arranged in such a way that the characteristic direction of each polarizing sheet makes an angle of 30° with the preceding sheet. What fraction of light is/are not transmitted?
Calculate the change in the melting point of wax for a pressure of 50 atmospheres from the following data :
melting point = 64°C, Volume at 0°C = 1 cc; volume of the solid at the melting point = 1.161cc; volume of the liquid at the melting point = 1.166 c.c.; density of the solid at 64° C = 0.96 gm. / c.c latent heat = 97 cal. gm.
A bead of mass 0.1 kg solids at rest from x (which is 4m above the ground) along a frictionless wire as shown in the figure given above, (Take g = 1Om/s^{2}) when at B, the wire exerts a force on the bead equal to ______ N.
10 gm. of steam at 100°C is blown into 90 gms. of water at 0°C contained in a calorimeter of water equivalent 10 gms. The whole of the steam is condensed. Calculate the increase in the entropy of the system.
A police car moving at 22 m/s chases a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle. If it is given that the motorcyclist does not observe any beats (speed of sound = 330 m/s)
The period of a disk of radius 10.2 cm executing small oscillation about a pivot at its rim is measured to be _____ sec. { The value o f the all acceleration due to gravity at that location is 9.83 m/sec^{2}}
2kg of ice at  20°C in an insulating vessel having a negligible heat capacity.The final mass of water remaining in the container i s kg. It is given that the specific heat of water and ice are 1KCal/kg/°C and 0.5 kcal/kg/°C while the latent heat of fusion of ice is 80 k cal/kg.
A particle of mass m is placed in the ground state of a one dimensional harmonic oscillator potential of the form
where the stiffness constant K can be varied externally. The ground state wavefunction has the form
where a is a constant. If suddenly, the parameter k is changed to 4K, the probability that the particle will remain in the ground state of new potential is _____ .
The given figure shows a silicon transistor connected as a common emitter amplifier. Calculate the approximate value of quiescent collectorvoltage of circuit.
What will be the input independence Z_{i} for the network shown below ?
Find out the minimum number of NAND gates required to implement A + AB + ABC.
For the given circuit calculate the output current. Where R_{1} = 6 kΩ, R_{f} = 24 kΩ, V_{i}= 1 V and load register of 6 kΩ.
Calculate the total output voltage for a differential amplifier in which the signal applied to inverting and non inverting terminals are respectively = 0.45 mV and 0.48 mV and A_{diff} =10^{6} and CMRR = 80 dB.
Two spherical nuclei have mass number 256 and 4 with their radii R_{1} and R_{2} respectively then find out the ratio
Image of an object approaching a convex mirror of radius 20 m along its optical axis is observed to move from in 20 sec. The speed (km/hr) of the object is ______
A ball of mass m , initially at rest , is dropped from a height of 5 meters. If the coefficient of restitution is 0.9, the speed of the ball just before it hits the floor the second time is approximately______ m/sec. (take g = 10 m/sec^{2})
AB and CD are two slabs. The medium between the slabs has refractive index 2. Find the minimum angle (In degree) of incidence of Q, so that the ray is totally reflected by both the slabs 
Screen s is illuminated by two point sources A and B. Another source C sends a parallel beam of light towards point P on the screen and the lines AP, BP and C P are in one plane. The distances AP, BP and CP are in are plane. The distances AP and BP are 3m and 1 ,5m respectively. The radiant powers of sources A and B are 90ω and 180 W respectively. The beam From c is of intensity 20 V\//m2. calculate intensity at P on the seen
Two beams , A and B, of plane polarised light with through a polaroid, from the position when the beam A has maximum intensity ( and beam B has zero intensity) a rotation of polaroid through 60°makes the two beams appear equally bright. If the initial intensities of the two beams are l_{A} and l_{B} respectively, then l_{A} / l_{B} equals________.
The change in specific volume when 1 kg of water freezes is 91 x 10^{6} m^{3}. The pressure at 273 K i.e. Find out the pressure at which the ice would freeze, when it is given that latent heat of ice = 3.66 * 10^{5} J/kg & one atmosphere=10^{5}
1 docs34 tests

1 docs34 tests
