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At what speed the volume of an object will shrinks to half its rest volume?
Calculate the energy released by 1 g of natural uranium assuming 200 MeV is released in each fission event and that the fissionable isotope ^{235}U has an abundance of 0.7% by weight in natural uranium.
A charged particle of mass'm',charge 'q' and constant velocity enters a uniform magnetic field at an angle θ to the direction of magnetic field.The angle'θ'(if,one revolution of the helical motion,the particle advances along the direction of the magnetic field at a distance equal to the radius of the helical path) is:
A free particle is moving in positive direction with linear momentum (p) The wave function of the particle normalized in a length (L) is:
Applying normalization, we get
The solution of the differential equation with the boundary condition that y = 1, at x=1 is:—
A particle of mass 2kg is moving such that at time t second, its position in meter is given by The angular momentum of the particle at t = 2 sec about the origin in kg m^{2}/sec is
If z = f(x, y), where x = g(t), y = h(t), g(3) = 2, g'(3) = 5, h(3) = 7, h'(3) = 4, f_{x}(2, 7) = 6, f_{y}(2,7) = 8, then the value of at t = 3 is
If are non coplanar unit vectors such that then the angle between is
A system of four particles is in xy plane of these two particle of masses 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 moment of inertia tensor of the system of particle is
Consider circular orbits in a central force potential V(r) = , where k > 0 and o < n < 2. If the time period of a circular orbit of radius R is T_{1} and that of radius 3R is T_{3}, then is,
After a perfectly elastic collision of two identical balls, one of which was initially at rest, the velocities of both the balls are non zero. The angle θ between the final.
Velocities (in the lab frame) is
The escape velocity of the earth is v_{0}. For a planet having radius 4 times and density three times that of the earth, the escape velocity will be
A pump is used to push water of density p through a tube of constant cross section area ‘A’ shown below. What is the value of ΔP?
Nearest neighbour distance in Na crystal is 1.83 A°. Density of electron in Na crystal is:
The electric potential due to a linear quadrupole varies inversely with distance ‘r’ as :
Calculate the collector voltage (V_{c}) of the transistor circuit shown in the fig be low :
Given
The logic circuit shown in the following figure yields the given truth table.
The gate ‘x’ in the diagram is:
A metal with body centered cubic (bcc) structure shows the first (i.e. smallest angle) diffraction peak at a Bragg angle of θ = 30°. The wavelength of Xray used is 2.1 . The volume of the primitive unit cell of the metal is (for first peak, h + k + 1 should be even)
Consider the surface corresponding to the equation 4x^{2} + y^{2} + z = 0 .A possible unit tangent to this surface at the point (1,2,8) is
In the laboratory frame, two observers A and B are moving along the sides of an equilateral triangle with equal speeds C/2, as shown in the figure. The speed of B as measured by A will be ______ .
The instantaneous electric and magnetic fields created at a distance r by a point source at the origin are given by
Where ω, A, B are constants and the unit vectors from an orthonormal set. The time averaged power radiated by the source is .
Electric field component of an electromagnetic radiation varies with time as E = , where a is a constant and the values of the ω and ω_{0} are 2 x 10^{15} sec^{1} and 1 x 10^{16} sec^{1} respectively. This radiation falls on a metal of work function 4.4eV. The maximum kinetic energy (in eV) of photoelectrons is
If E_{1 }is the energy of the electron in the six fold degenerative energy state (1,2,3) in a cubical potential box of side a and E_{2} is the energy of a particle of mass twice that of electron in the second nondegenerative energy state of a side then E_{2}E_{1}
Three polarisers P,Q and R are placed parallel to each with their planes perpendicular to the zaxis. Q is placed between P and R Initially, the polarising directions of P and Q are parallel but that of R is perpendicular to them . In this arrangement when unpolarised light of density l_{0} is incident on P , the R intensity coming out of R is zero, the polariser Q is now rotated about the zaxis. The maximum intensity of light coming out of R is
A diffraction grating having N slits , each of width b and period d , is illuminated normally by a monochromatic plane wave of wavelength λ. What is the phase difference between waves from first and Nth slit in the heighest diffraction order?
The speed of sound propagating in air as a function of temperature T is given by v = αT, where , α is a constant of appropriate dimensions. Calculate the time taken for a sound wave to travel a distance L between two points A and B , If the air temperature between the points varies linearly from T_{1} to T_{2}.
The extension in a string, obeying Hooke’s law, is x. The speed of transverse wave in the stretched string is V. If the extension in the string is increased to 1.5x, the speed of transverse wave will be
Two radio stations broadcast their programs at the same Amplitude A and at slightly different frequencies ω_{1} and ω_{2} respectively, where ω_{1}  ω_{2}= 10^{3}Hz. A detector receives the signals from the two stations simultaneously. It can only detect signals of intensity ≥2A^{2}. Find the time interval between successive maxima of the intensity of the signal received by the detector.
A thin convex lens made from crown glass as focal length f. When it is measured in two different liquids having refractive indices It has the focal length f_{1} and f_{2}, respectively. The correct relations between the focal length is ________ .
In a YDSE bichromatic light of wavelength 400 nm and 560 nm are used. The distance between the slits is 0.1 mm and the distances between the plane of the slits and the screen is 1m. The minimum distance between two successive regions of complete darkness is _______
Which of the following statement’s are correct ?
Let us defined the following quantities, which are experimentally measurable
(coefficient of thermal expansion )
(isothermal compressibility )
(adiabatic compressibility )
Then which of the following relations are correct ?
An expression for two unnormalized wave functions that describe a particle in a box that has 1/3 change of being in the n = 4 static and 3/4 change of being in the n = 5 state.
A bullet of mass 50g is fired from below into the bob of mass 450g of a long simple pendulum as shown in figure. The bullet inside the bob and the bob rises through a height of 1.8 m Then
If (a, b and g being constants) and x = a’ and when t = 0 then
The coordinates of a particle moving in a plane are given by x(t) = a cos p(t) & y(t) = b sin(pt) where a,b (<a) and ‘p’ are positive constants of appropriate dimensions. Then:
Let V_{rms} & V_{p} respectively denote the mean speed , root mean square speed and most probable speed of the molecules in an ideal monatomic gas at absolute temperature (T). The mass of the molecule is .m.. Then:
A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it
The correct statements is(are) 
A series RC circuit is connected to AC voltage source consider two cases (A) When C is without a dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resister and voltage V_{c} across the capacitor are compared in the two cases. Which of the following is/are true ?
A steady current I flows along an infinitely long hallow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current i. Consider a point P at a distance R from the common axis. The correct statements is/are
What is the probability that a particle be found between 0.49 L and 0.51 L in 1D box of length L for n = 1 ?
The moment of inertia of a uniform sphere of radius ‘r’ about an axis passing through its centre is given by .A rigid sphere of uniform mass density ‘p ’ & radius ‘R’ has two smaller spheres of Radii hollowed out of it as shown in the figure given below.
The moment of inertia of the resulting body about yaxis if R = 2.5 m & p = 4.6 kg/m^{3} is
In a cylindrical conductor of radius 2mm, the current density varies with the distance from the axis according to J = 10^{3} (e)^{400r} A/m^{2}. What is the value of the total current (I) (in mA) ?
A person weighs W_{p} at Earth's pole and We at the equator. Treating the Earth as a perfect sphere of radius 6400 km, the value 1000 x
A particle constrained to move along the xaxis is described by the wave function :
ψ ( x ) = 2x ; 0 < x <1
ψ (x)= 0 ; else where
What is the probability of finding the particle within the interval (0,0.4)?
The pulley shown in figure has a radius 10 cm and moment of inertia 0.5kg.m^{2} about its axis. Assuming the inclined planes to be frictionless .The acceleration of the 4.0 kg block is _____ cm/sec^{2}.
Steam at 100°C is mixed with 1500 gms of water at 15°C so that the final temperature of the mixture is 80° C. What will be the value of mass of steam ?
The vapour pressure (P) (in mm of Mercury) of solid ammonia is given by : while that of liquid ammonia is given by where T is in K. What is the value of the pressure at which solid, liquid and vapour phase of ammonia exists simultaneously (in mm of Hg) ?
The heat absorbed by a system in going through the following cyclic process is  mJ.
The number of photons emitted per second by a 10 W sodium vapour lamp is _____ x 10^{19}. Assume that 60% of the consumed energy is converted into light. Wavelength of sodium light = 590nm.
In young’s double slit experiment using monochromatic light the fringe pattern shifts by a certain distance on the screen when a mica sheet of refractive index 1.6 & thickness 1.964 microns is introduced in the path of one of the interfering waves. The mica sheet is then removed & the distance between the slits & the screen is doubled. It is found that the distance between the maxima (or minima) now is the same as the observed fringe shift upon the introduction of the miashat. Calculate the wavelength of the monochromatic light used in the experiment (in A°) ?
For the common emitter configuration of transistor, as shown in the figure find the voltage between collector & emitter.
The load resistance of a full wave rectifier is 10^{3} Ω. And the input AC voltage (rms) is 2000200. Calculate the ripple factor for the following arrangement (while considering that diode do not show any significant resistance itself)?
A binary star is observed to consist of a blue star B (Peak wavelength 800 nm) and a red star R (Peak wavelength 400 nm) orbiting each other. As observed from the earth, B and R appear bright. Assuming that the stars radiate as perfect black bodies, it follows that the ratio of volumes V_{B}/V_{R} of the two stars is_________.
A stone is dropped vertically from the top of a town of height 40 m. At the same time a gun is aimed directly at the stone from the ground at a horizontal distance 30 m from the base of the tower and fired. If the bullet from the gun is to hit the stone before it reaches the ground the minimum velocity (m/sec) of the bullet must be approximately _____ .
A variational calculation is done with the normalized trial wave function
for the onedimensional potential well
The ground state energy is estimated to be .The value of n is ______ .
The dispersion relation of phonons in a solid is given by . The velocity of phonons at large wavelength is nω_{0}a .
The value of ‘n’ is _______ .
A circular disc of radius ‘a ’ on the xy plane has a surface change density . The electric dipole moment of this charge distribution is __________ ( in the unit of
The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λ is found to be √5 mm. Determine the wavelength λ of the light_______ (in ).
1 docs34 tests

GATE Physics Mock Test Series  4 Test  60 ques 
GATE Physics Mock Test Series  5 Test  60 ques 
GATE Physics Mock Test Series  6 Test  60 ques 
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  4 Test  60 ques 
GATE Physics Mock Test Series  5 Test  60 ques 
GATE Physics Mock Test Series  6 Test  60 ques 
GATE Physics Mock Test Series  7 Test  60 ques 
GATE Physics Mock Test Series  8 Test  60 ques 