IIT JAM Physics Mock Test - 3 - Physics MCQ

If ε₀ is the zero-point energy of a harmonic oscillator of frequency v and h is planck's constant then its energy in the n = 5 state will be

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

A chain is used to lower a block of mass m through a distance h at a constant acceleration of g/5. What is the work done by the chain on the block?

An ideal gas with the adiabatic exponent γ goes through a process P = P₀ - ∝V, where P₀ and ∝ are positive constants, and V is volume. At what volume will the gas entropy have the maximum value?

An adiabatic vessel contains 2 kg of water at 25⁰C by paddle-wheel work transfer, the temperature of water is increased to 30⁰C. If the specific heat of water is assumed constant at 4.187 KJ/kg.K, the entropy change of the universe is

A mass of 8 kg gas expands within a flexible container so that the p–v relationship is of the from pv^l.2 = constant. The initial pressure is 1000 kPa and the initial volume is 1 m³. The final pressure is 5 kPa. If specific internal energy of the gas decreases by 40 kJ/kg, find the heat transfer in magnitude and direction.

The eiqen values and eigen vectors of the matrix  are

Consider a cylinder of height h and radius a, closed at both ends, centered at the origin. Let  the position vector and  unit vector normal to the surface. The surface integral  over the closed surface of the cylinder is

The normalized ground state wave function of a hydrogen atom is given by  where 'a' is the bohr radius and r is the distance of the electron from the nucleus located at the origin. The expectation value <1/r²> is

For a particle of mass m, in a one-dimensional harmonic oscillation potential of the form  the first excited energy eigen state wave function is  The value of a is

Electric field component of an electromagnetic radiation varies with time as E = a [cosω₀t + sinωt cosω_ot),where a is a constant and the values of the ω and ω_o are 2 x 10¹⁵ sec^-1 and 1 x10¹⁶ sec^-1 respectively. This radiation falls on a metal of work function 4.4eV. The maximum kinetic energy (in eV) of photoelectrons is

Light takes 4 hours to travel the distance from sun to nepton. lf you travel in a spaceship at a speed 0.935 c(where c is the speed of light in vacumm), the time(in minutes) required to cover the same distance measured with a clock on the spaceship will be approximately

A proton and an α-particle. accelerated through the same potential difference, enter a region of uniform magnetic field normally. If the radius of the proton orbit is 10 cm that of the α-orbit , then radius of proton orbit is

A long straight conductor, carrying a current I is bent into the shape shown in the figure. The radius of the circular loop is V . The magnetic field at the centre of the loop is:-

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 in 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:-

Two blocks A and B each of mass m, are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in figure. A third identical block C, also of mass m. moves on the floor with a speed v along the line joining A and B, and collides elastically with A. Then

A stone of mass 5 kg is placed at a distance 5m from the axis of rotaion on the rotating table ( angular velocity w with respect to earth) What would be the angular velocity w so that the stone starts slipping? {The frictional coefficient between stone and table is 1.5 }

select nearest option.

The concentration of donor atoms is given for a semiconductor specimen (2.54cm x 0.2cm x 0.2cm). as N_D The ratio of resistance taken along the longer ends with that of taken along the shorter? (Given N_D = 10¹⁶ cm³' μ = 1200).

In a typical n-p-n transistor,the doping concentrations in emitter,base & collector regions are C_E,C_B & C_c respectively. These satisfy the relation:-

In a compound XY₂O₄, oxide ions are arranged in fee and cations 'Y' are present in octahedral voids, cations T are equally distributed between octahedral & tetrahedral voids. The fraction of the octahedral voids occupied is:-

The Boolean expression [B.(A + B) +can be realized using minimum no of

Consider a beam of light of wavelength 'λ' incident on a system of a polarizer & an analyzer. The analyzer is oriented at 45⁰ to the polarizer. When an optical component is introduced between them, the output intensity becomes zero. (Light is incident normally on all components).The optical component is:-

A combination of two thin convex lens of equal focal length is kept separated along the optic axes by a distance of 20 cm between them. The combination behaves as a lens system of infinite focal length. If an object is kept at 10 cm from the first lens, its image will be formed on the other side at a distance x from the second lens. The value of x is:-

The black body spectrum of an object P is radiant intensity at maximum wavelength of 100 nm. Another object Q has the maximum radiant intensity at 400 nm. What will be the ratio of power emitted per unit area by P to that of Q?

A boat is travelling in river with a speed 10m/sec along the stream flowing with a speed 2m/sec. From this boat ,a sound transmitter is lowered into the river through a rigid support .The wavelength of the sound emitter from the transmitter inside the water and air is negligible.The frequency detected by a receiver kept inside the river downstream is:- (given that bulk modulus 

A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m^-1, the number of principle maxima observed in the transmitted light will be:-