MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

A charge q (> 0) moves towards the centre of a circular loop of radius R along its axis. The magnitude of B along the periphery of the loop is ______.

Two bodies of masses m₁ and m₂ are connected a light string which passes over a frictionless massless pulley. If the pulley is moving upward with uniform acceleration `"g"/2`, then tension in the string will be ______.

A simple harmonic oscillator has amplitude A, angular velocity ω and mass m. Then, average energy in one time period will be ______.

An equilateral triangle of side l is formed from a piece of wire of uniform resistance. The current i is fed as shown in the figure. The magnitude of the magnetic field at its centre O is ______.

A particle executes SHM with an amplitude of 10 cm and frequency 2 Hz. At t = 0, the particle is at a point, where potential energy and kinetic energy are same. The equation of displacement of particle is ______.

A simple pendulum of length L has mass m and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)

Water rises in a capillary tube of radius r upto a height h. The mass of water in a capillary is m. The mass of water that will rise in a capillary of radius `"r"/4` will be ______.

The surface tension of the two liquids is respectively 20 and 60 dyne cm^-1. The liquids drop from the ends of two tubes of the same radius. The ratio of the weights of the two drops is ______

A radioactive nucleus emits 4 α-particles and 7 β-particles in succession. The ratio of number of neutrons of that of protons, is
[A = mass number, Z =atomic number]

A circular coil of radius R is carrying a current l₁ in anti-clockwise sense. A long straight wire is carrying current l₂ in the negative direction of X-axis. Both are placed in the same plane and the distance between center of coil and straight wire is d. The magnetic field at the centre of coil will be zero for the value of d equal to

A simple pendulum of length I has a bob of mass m. It executes SHM of small amplitude A. The maximum tension in the string is (g = acceleration due to gravity)

A square frame of each side L is dipped in a soap solution and taken out. The force acting on the film formed is _____.
(T = surface tension of soap solution).

A thermodynamic system undergoes cyclic process ABCDA as shown in the figure. The work done by the system is ______

A radioactive substance of half-life 69.3 days is kept in a container. The time in which 80% of the substance will disintegrate will be ______

[take ln(5) = 1.61]

The length of a simple pendulum is increased by 44%. The percentage change in its time period is ______.

A body of mass 9 kg is under a force that causes displacement in it given by s = `5t^2"/"6` metre where t is time. The work done by the force in 2 seconds is ______

Two small drops of mercury each of radius 'R' coalesce to form a large single drop. The ratio of the total surface energies before and after the change is ____________.

A monoatomic gas of pressure p having volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is ____________.

`("ratio of specific heats" = 5/3)`

The rate of radioactive disintegration at an instant for a radioactive sample of half-life 2.2 x 10⁹ s is 10¹⁰ s^-1. The number of radioactive atoms in that sample at that instant is, ______ 

Among the amount of heat absorbed and the amount of work done by a system, ______