Question Bank Directory

Two bodies of mass $m$ and $9m$ are placed at a distance $R$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be: ($G=$ gravitational constant)

A body weighs $72 \text{ N}$ on the surface of the earth. What is the gravitational force on it at a height equal to half the radius of the earth?

The molecular weight of two gases is $M_1$ and $M_2$. At any temperature, the ratio of root mean square velocities $v_1$ and $v_2$ will be:

The correct statement about the variation of viscosity of fluids with an increase in temperature is:

Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:

Which one of the following plots represent the variation of gravitational field on a particle at distance $r$, due to a thin spherical shell of radius $R$? ($r$ is measured from the centre of the spherical shell).

A body of mass m is taken from the earth’s surface to the height equal to twice the radius (R) of the earth. The change in potential energy of the body will be

Two charged spherical conductors of radii $R_1$ and $R_2$ are connected by a wire. The ratio of surface charge densities of spheres $(\sigma_1/\sigma_2)$ is:

Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass $m$ when taken to a height $h$ from the surface of the earth (of radius $R$ and mass $M$), is given by:

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

In a gravitational field, the gravitational potential is given by $V=-\frac{K}{x}$ J/kg. The gravitational field intensity at the point $(2,0,3)$ m is:

Two copper vessels A and B have the same base area but are of different shapes. A takes twice the volume of water that B requires to fill up to a particular common height. Then the correct statement among the following is:

Two satellites of Earth, $S_1$ and $S_2$, are moving in the same orbit. The mass of $S_1$ is four times the mass of $S_2$. Which one of the following statements is true?

If a soap bubble expands, the pressure inside the bubble:

The time period of a geostationary satellite is $24 \text{ hr}$ at a height $6R_E$ ($R_E$ is the radius of the Earth) from the surface of the earth. The time period of another satellite whose height is $2.5R_E$ from the surface will be:

A mass falls from a height $h$ and its time of fall $t$ is recorded in terms of time period $T$ of a simple pendulum. On the surface of the earth, it is found that $t=2T$. The entire setup is taken on the surface of another planet whose mass is half of that of the Earth and whose radius is the same. The same experiment is repeated and corresponding times are noted as $t'$ and $T'$. Then we can say:

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then,

The average kinetic energy of a helium atom at 30°C is:

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m, 8m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be:

A container of volume $200 \text{ cm}^3$ contains 0.2 mole of hydrogen gas and 0.3 mole of argon gas. The pressure of the system at temperature $200 \text{ K}$ ($R = 8.3 \text{ J K}^{-1} \text{ mol}^{-1}$) will be: