IIT JAM Physics Mock Test - 7 - Physics MCQ

One mole of an ideal gas whose adiabatic exponent equals R undergoes a process in which the gas pressure relates to the temperature as P = aT^α. The work performed by the gas if its temperature gets an increment ΔT.

The efficiency of a cycle consisting of two isobaric and two adiabatic lines, if the pressure changes n times within the cycle. The working substance is an ideal gas whose adiabatic exponent is equal to γ.

The heat required to convert 1 gm of water into steam under standard atm pressure if the entropy of water at the boiling point is 0.31 and for 100% steam at the steam temperature is 1.74 is:-

If y = x cos x is a solution of an nth order linear differential equation

With real constant coefficients, then the least possible value of n is:-

The value of the integral

A monoatomic gas is described by the equation of state P(V - bn) = nRT Where b and R are constants and other quantities have their usual meanings. The maximum density (in makes per unit volume) to which this gas can be compressed is

Consider the surface corresponding to the equation 

A possible unit tangent to this surface at the point (1.2.-8) is

What are the eigen values of the given matrix:-

Which of the following matrices is Hermitian:-

An system at temperature T has three energy states 0, ± ε. The entropy of the system in the low temperature (T→0) and high temperature (T → ∝) limits are respectively,

One mole of an ideal gas undergoes the cycle ACBA shown in the pV diagram below one of the curved lines in the cycle represents an isothermal change at temperature T, while the other represents and adiabatic change, the net heat gained by gas in this cycle is _____

An ideal gas at a temperature T is enclosed in a rigid container whose walls are initially at temperature T₁, where T₁ < T. The walls are covered on the outside with perfect thermal insulation and the system is allowed to come to equilibrium. The pressure exerted by the gas on the walls of the container.

Consider the CO molecule as a system of two point particles which has both translational and rotational degrees of freedom. Using classical statistical mechanics. the molar specific heat C_v of CO gas is given in form of the Boltzmann constant K_B by

The vector  is perpendicular to  is perpendicular to  Then the angle between 

In the temperature range 100 - 1000 C. the molar specific heat of a metal varies with temperature T (measured in degrees Celsius) according to the formula  If 0.2 kg of the metal at 600 C is brought in thermal  contact with 0.1 kg of the same metal at 300 c, the final equilibrium temperature in deg c, will be

A monoatomic gas undergoes a process given by 2 du + 3dω = 0 Then the process is

An ideal gas in a Cylinder is Compressed adiabatic ally to one - third of its initial Volume. During this process 20 J work is done on the gas by compressing agent. Which of the following Statements is true for this case?

The ratio y = C_P / C_V of H₂, gas is 7/5 at room temperature, and 5/3 at low temperatures (around 50 K). The reason for this change is

Calculate the variation of C_p with pressure at constant temperature of a substance for which the equation of state is given the relation

f(x) is a periodic function of x with a period of 2π. In the interval -π<x<π,  f(x) is given by

In the expansion of f(x) as a Fourier series of sine and cosine functions, the coefficient of cos 2x is

The volume of the portion of the cylinder x² + y² = 4 in the first octant between the lanes z = 0 and 3x - z = 0 is

For in isolated thermodynamical system, most probable, and root mean square values respectively of the molecular speeds of a gas room temperature being Maxwellian velocity distribution, then

For an isolated thermodynamical system P, V, T, U, S. and F represent the pressure. volume, temperature, internal energy, and free energy respectively. Then the following relation is true

If z₁ and z₂ are two complex numbers then

The sublimation curve of solid ammonia is given by ln p = 23 - 3750/T and the vaporization curve of the liquid ammonia is given by In p = 19.5 -3050/T. where p is in mm of Hg and T is in K. The temperature of the triple point of ammonia is

The eigen values of the matrix  are given by  Which one of the following statement is NOT true?

Let  is a solution of the Laplace equation then the vector field  is