Physics Test 154

B₁ = 0, B₂ = B₀, B₃ = 3B₀; B₄ = 7B₀. B₃ is out of the plane while B₂ and B₄ are into the plane. The average emf induced in one cycle is

A cylinder is closed at both ends and has insulating walls. It is divided into two compartments by an adiabatic partition that is perpendicular to the axis of the cylinder. Each compartment contains 1.00mol of oxygen that behaves as an ideal gas with. Initially, the two compartments have equal volumes and their temperatures are 550K and 250K. The partition is then allowed to move slowly until the pressures on its two sides are equal. Find the final temperature in the compartment which has initial temperature 550K. (Take : 

The figure shows a conducting shell of radius r having charge 2q on it. Two point charges, of magnitude 2q each are placed at distance 2r from the centre of the shell at A and B respectively. A charge q is residing inside the shell at distance r/3 from its centre. The charge flow to earth if the switch is closed is

A combination of 0.250kg of water at 20.0°C, 0.400kg of aluminium at 26.0°C and 0.100kg of copper at 100°C is mixed in an insulated container and allowed to come to thermal equilibrium. Ignore any energy transfer to or from the container and determine the final temperature of the mixture. (s_Water = 4186 J kg^–1 °C^–1, s_Aluminium = 900 J kg^–1 °C^–1, s_Copper = 387 J kg^–1 °C^–1)

A spherical surface of radius R separates air from a medium of refractive index µ. Parallel beam of light is incident, from medium side, making a small angle θ with the principal axis of the spherical surface. Choose the correct relation between R, x and μ.

For the β⁺ decay process a reaction is done as follows . If mass of neutrino particle is negligible and atomic mass of Y is m_Y and atomic mass of X is m_X then choose correct option for β⁺ decay reaction to be feasible, m_e is the mass of β⁺ particle.

In a radioactive process a sample contains two isotopes, one stable and the other unstable. Number of stable nuclei is equal to N_s and the number of unstable nuclei is equal to N_u. After certain time the activity of sample decreased to 1/x times initial activity. After this certain time total number of nuclei (excluding decayed nuclei) became one third of intial nuclei, then find the ratio of N_s/N_u.

The energy band diagrams for three semiconductor samples of silicon are as shown. We can then choose the correct statement

The magnetic susceptibility of aluminium at 300 K is 2.5 × 10^–5. The magnetic intensity H inside a solenoid with aluminium core is 2000 Am^–1. If the temperature of the core is raised to 350 K what will be magnetisation at 350 K?

A rod of mass M = 5kg and length L = 1.5m is held vertical on a table as shown. A gentle push is given to it and it starts falling. Friction is large enough to prevent end A from slipping on the table. Find the sum of linear momentum of all the particles of the rod when it rotates through an angle θ = 37°.