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

A thin, uniform metal rod of mass 'M' and length 'L' is swinging about a horizontal axis passing through its end. Its maximum angular velocity is 'ω'. Its centre of mass rises to a maximum height of ______.

(g =acceleration due to gravity)

Three circular concentric wires of radii a, 2a, and 3a are carrying currents 3I, 2I, and I respectively in the anticlockwise direction. The effective magnetic field at the common center is ____________.

Two projectiles thrown at 30° and 45° with the horizontal respectively, reach the maximum height in same time. The ratio of their intial velocities is ______.

The velocity of a projectile at the initial point A is `(2 hat "i" + 3 hat "j")` m/s. Its velocity (in m/s) at point B is ______.

An electromagnetic wave passes through space and its equation is given by E = E₀ sin(ω - kx) where E is electric field. Energy density of electromagnetic wave in space is ______.

Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct?

A mass m is revolving in a vertical circle at the end of a string of length 20 cm. By how much does the tension of the string at the lowest point exceed the tension at the topmost point?

An α -particle of energy 5 Me V is scattered through 180° by a fixed uranium nucleus. The distance of closest approach is of the order of ______.

In vertical circular motion, the ratio of kinetic energy of a particle at highest point to that at lowest point is ______.

A projectile thrown from the ground has an initial speed u and its direction makes an angle θ with the horizontal. If at maximum height from the ground, the speed of the projectile is half its initial speed of projection, then the maximum height reached by the projectile is ______.

`["g = acceleration due to gravity", sin30^circ = cos60^circ = 0.5, cos30^circ = sin60^circ = sqrt3"/"2]`

Two bodies A and B move in the same straight line starting from the same position. Body A moves with constant velocity u and B moves with constant acceleration a. When their velocities become equal, the distance between them is ______.

A projectile is projected with a velocity of `(3hati + 4hatj)` m/s. The horizontal range of the projectile will be ______.

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 ______.

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 ______.

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 ______

The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality 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