Physics

Two planets have masses M and 16M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of mass m is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firings speed needed is:

A quantity X is given by (IFv²MLL⁴) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that of:

Find the binding energy per neucleon for ¹²⁰₅₀Sn. Mass of proton mₚ = (A)1.00783U, mass of neutron mₙ = (A)1.00867U and mass of tin nucleus msn = 119.902199U. (take 1U = 931MeV)

For a plane electromagnetic wave, the magnetic field at a point x and time t is B(x, t) = [1.2 * 10?sin(0.5 * 10³x + 1.5 * 10¹¹t)k]T
The instantaneous electric field E corresponding to B is: (speed of light c = 3 * 10? ms?¹)

A circular coil has moment of inertia 0.8 kg m² around any diameter and is carrying current to produce a magnetic moment of 20Am². The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter. When a uniform magnetic field of 4 T is applied along the vertical, it starts rotating around its horizontal diameter. The angular speed the coil acquires after rotating by 60° will be:

Two identical electric point dipoles have dipole moments p₁ = pî and p₂ = −pî and are held on the x axis at distance ' a ' from each other. When released, they move along the x-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is 'm', their speed when they are infinitely far apart is:

Consider two uniform discs of the same thickness and different radii R₁ = R and R₂ = aR made of the same material. If the ratio of their moments of inertia I₁ and I₂, respectively, about their axes is I₁:I₂ = 1:16 then the value of a is:

In photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased:

Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K₁, K₂, and K₃, respectively. They are joined together at their ends to make a long rod (see figure). One end of the long rod is maintained at 100°C and the other at 0°C (see figure). If the joints of the rod are at 70°C and 20°C in steady state and there is no loss of energy from the surface of the rod, the correct relationship between K₁, K₂ and K₃ is:

A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with speed v under the influence of magnetic field B. The magnetic moment of this moving particle: