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An iron rod of susceptibility $599$ is subjected to a magnetizing field of $1200 \text{ A m}^{-1}$. The permeability of the material of the rod is: $(\mu_0 = 4\pi \times 10^{-7} \text{ T m A}^{-1})$
A remote sensing satellite of the earth revolves in a circular orbit at a height of $0.25 \times 10^6$ m above the surface of the earth. If the earth’s radius is $6.38 \times 10^6$ m and $g = 9.8$ ms$^{-2}$, then the orbital speed of the satellite is:
If the K.E. of a body is increased by $300\%$, its momentum will increase by:
The pressure and temperature of two different gases are P and T with volume V for each. If they are mixed, keeping the same volume and temperature, the pressure of the mixture will be:
At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the earth's atmosphere? (Given: Mass of oxygen molecule $m = 2.76 \times 10^{-26} \text{ kg}$, Boltzmann's constant $k_B = 1.38 \times 10^{-23} \text{ J K}^{-1}$)
If $C_p$ and $C_v$ denote the specific heats (per unit mass) of an ideal gas of molecular weight $M$, then:
The dependence of acceleration due to gravity g on the distance r from the centre of the earth assumed to be a sphere of radius R of uniform density is as shown in the figure below:
A given sample of an ideal gas occupies a volume $V$ at a pressure $p$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas?
Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is:
Electromagnets are made of soft iron because soft iron has:
The magnetic susceptibility is negative for:
For a gas, $R/C_V = 0.67$. This gas is made up of molecules which are:
The unit of Stefan's constant σ is:
A gas mixture consists of 2 moles of $O_2$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:
A 250-turn rectangular coil with a length of $2.1 \text{ cm}$ and a width of $1.25 \text{ cm}$ carries a current of $85 \text{ }\mu\text{A}$ and is subjected to a magnetic field of strength $0.85 \text{ T}$. What is the work done to rotate the coil by $180^\circ$ against the torque?
Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by:
A particle of mass M is situated at the centre of a spherical shell of mass M and radius a. The gravitational potential at a point situated at a/2 distance from the centre will be:
The average thermal energy for a mono-atomic gas is: ($k_B$ is Boltzmann constant and $T$ absolute temperature)
A bar magnet of length L and magnetic dipole moment M is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be:
Kepler's third law states that the square of the period of revolution (T) of a planet around the sun, is proportional to the third power of the average distance r between the sun and planet i.e. $T^2 = Kr^3$, here K is constant. If the masses of the sun and planet are M and m respectively, then as per Newton's law of gravitation, the force of attraction between them is $F = GMm/r^2$, here G is gravitational constant. The relation between G and K is described as: