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The energy density and pressure of aphoton gas are given by and P = where T is the temperature and σ is the radiation constant. The entropy per unit volume is given by
Let ψ_{0} and ψ_{2}. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,
The expectation value of the energy as a function of time
The wave function of a certain particle is than the value of A is
At constant temperature on increasing the pressure of a gas by 10% will decrease its volume by
The independent solutions of the equation = cos hx are —
A Ushaped tube contains a liquid of density ρ and it is rotated about the line as shown in the figure. The difference in the levels of liquid column is
The first ball of mass m moving with the velocity v collides head on with the second ball of mass m at rest. If the coefficient of restitution is e, then the ratio of the velocities of the first and the second ball after the collision is
One mole of an ideal monoatomic gas is kept in a volume V and is at temperature T. If the volume and temperature of the gas are respectively changed to V’ and T’ in such a way that the entropy of the gas is unchanged, then which of the following is correct.
A charge q is placed at the centre of the line joining two equal charges Q. The system of three charges will be in equilibrium if q =
At a given point in space the total light wave is composed of three phases
The intensity of light at this point is
A radioactive sample S_{1} having an activity of 5μCi has twice the number of nuclei as another sample S_{2} which has an activity of 10μCi. The half lives of S_{1} and S_{2} can be
When a plane polarised light is normally incident on half wave plate with an angle 30° to optical axis the output light is
When plane polarized light wave is incident on a quarter wave plate at θ= 45° angle then what is the nature of output wave.
For the circuit shown in the given figure, assuming ideal diodes, the output waveform V_{0} will be
At normal temperature (0°C) and normal pressure (1.013 x 10^{5} N/m^{2}) when 1 gm. of water freezes, its volume increases by 0.091 cm^{3}. What is the change in internal energy.
Two infinite parallel plates are uniformly charged. And the charge density on these plates are +σ and  σ respectively. The intensity of electric field between these plates will be
A conductor is placed in a variable electric field . The ratio of displacement current density to conduction current density is (σ is conductivity)
For the circuit shown, which one of the following statement is true?
The internal energy of an ideal gas decreases by the same amount as the work done by the system
What is the gain V_{0}/V_{i} of the circuit of figure
In a crystal whose primitives are 1.2A° 1.8A° and 2A°, along whose miller indices are (2, 3, 1) cuts intercept 1.2 A° along X  axis. What will be the length of intercepts along y and z  axes.
Two equal negative charges q are fixed at points (0, a) and (0, a) on yaxis. A positive charge Q is released from rest at the point (2a, 0) on the xaxis. The charge Q will be
A uniform rod of length I is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins rotating from rest from its unstable equilibrium position . When it has turned through an angle θ , its angular velocity ω is given as
Consider the situation shown in the figure. All the surfaces are smooth and the rod has mass M what is the minimum value of F required to keep the rod in equilibrium ?
A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of the slit is
In a pn junction diode not connected to any circuit
A planet of mass m and angular momentum L moves in a circular orbit in a potential v(r)= where k is a positive constant If the planet is slighthy perturbed, find angular frequency of radial oscillation.
What is the ratio of the nearest neighbour distance to the next nearest neighbour distance in a simple cubic crystal
What is the maximum radius of the sphere that can just fit into the void at the body centre of the fee structure coordinated by the facial atom. Given r is the radius of atom.
A ball is dropped from a height H. It bounces back up to a height e times after hitting the ground . If e < 1, after what time the ball will finally come to rest.
An object of mass m moving with a velocity v is approaching a second object of the same mass but at rest. Which of the following are correct?
The figure shown PV diagram for one mole of a monoatomic ideal gas. AB and CD are isothermal process at 500 K and 300 K, respectively and V_{2} = 2V_{1}.
A particle of mass m is subjected to a potential
Which of the following statements are Correct:
A Germanium transistor with α = 0.98 gives a reverse saturation Current of 40μ A, when used in CB configuration when the transistor is connected in the CE mode with a base current of 0.2 ma. Then the following results have been obtained. Choose the correct options .
A particle of unit mass is thrown vertically upward with inifial speed v_{0}. If is acted upon by a drag force bv^{2} in addition to gravity where b is constant and v is instantaneous velocity of particle. Then the speed of the particle when it returns to the point from where it was thrown,
A solid cylinder is attached to a horizontal mass less spring on that it can roll without slipping along a horizontal surface. The spring constant k is 3 N/m. If the system is released from rest at a point in which the spring is stretched by 0.25 m .
A particle executes simple harmonic motion between x =  A and x = + A. The time taken for it to go from 0 to and to go from to A is T_{2}. Then which of the following is/are incorrect
The total energy of an inert  gas crystal is given by where R is the inter  atomic spacing in Angstroms. The equilibrium seperation between the atoms in Angstroms.
Consider the differential equation + y tanx = cosx if y(0) = 0 the is
Two moles of helium gas undergoes a cyclic process as shown in figure. Assuming the gas to be ideal, the net work done in this process is _________ (inJ).
An object travels along the xdirection with velocity c/2 in a frame O. An observer in a frame O′ sees the same object travelling with velocity c/4. The relative velocity of O′ with respect to O in units of c is __________. (up to two decimal places).
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s^{2})______ m^{2}/sec^{2}.
A source of sound of frequency 256 Hz is moving rapidly towards a wall with a velocity of 5m/s. How many beats per sec, will be heard if sound travels at a speed of 330 m/s, and observer is between the source and the wall?
The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.
Two coherent plane waves of light of equal amplitude and each of wavelength 10π x 10^{8} m, propagating at an angle of radian with respect to each other, fall almost normally on a screen. Find out the fringewidth (in mm) on the screen?
A quantity of air (y = 1.4) at 27°C is suddenly compressed to one third of its volume. Calculate the change in temperature in °C.
How many orders will be visible if the wavelength of incident radiation be 5000 Å and the number of lines on the grating be 7620 to an inch. (Take 1 inch = 2.54cm)
Consider 1000 non  interacting , distinguishable particles in a twolevel system at temp T. The energies of the levels are 0 and ε, whwere ∈> 0. In the high temperature limit (K_{B}T > ε). What is the population of particles in the level with energy ε.
In a silicon transistor, a change of 8.89 mA in the emitter current produces a change of 8.8 mA in the collector current. What change in the base current is necessary to produce an equivalent change in the collector current ?
If for a transistor, then what would be the value of l_{c} (in mA)?
A differential amplifier has a differential gain of 20,000 . CMRR = 80 dB. Find out the common mode gain?
What is the change in internal energy (in cal) when 0.004 kg. of air is heated from 0°C to 2°C. The specific heat of air at constant volume being 0.172 kilo cal/kg °C.
The Bragg angle corresponding to the first order reflection from (1,1,1) planes in a crystal is 30° when X  rays of wavelength 1.75_{Å} are used. Calculate the interatomic spacing.
A body of 100 gm. mass is moving with velocity m/sec. in an inertial frame which it self (frame) rotating with angular velocity radian/sec. with respect to a stationary reference frame. Then find out the magnitude of Coriolis force on moving body?
A wave packet in a certain medium is constructed by superposing wave of frequency ω around ω_{0} = 100 and the corresponding wavenumber K with K_{0} = 5 as given in the table below
What would be the ratio v_{g}/v_{p} of the group velocities v_{g} and the phase velocity v_{p} ?
Water freezes at 0°C at atmospheric pressure (1.01 x 10^{5} Pa). The density of water and ice at this temperature and pressure are 1000 kg/m^{3} and 934 kg/ m^{3} respectively. The latent heat of fusion is 3.34 x 10^{5} J/kg. The pressure difference required for depressing the melting temperature of ice by 10°C is ______ (G Pa).
If the K_{α}radiation of Mo (Z = 42) has a wavelength of 0.71 Å , then evaluate the wavelength of the corresponding radiation of Cu (Z = 29).
1 docs34 tests

GATE Physics Mock Test Series  7 Test  60 ques 
GATE Physics Mock Test Series  8 Test  60 ques 
1 docs34 tests

GATE Physics Mock Test Series  7 Test  60 ques 
GATE Physics Mock Test Series  8 Test  60 ques 