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

The critical angle for light travelling from medium P to medium Q is 'θ'. The speed of light in medium P is 'v'. Then the speed of light in medium Q is ______.

An engine is moving on a c1rcular path of radius 200 m with speed of 15 m/s. What will be the frequency heard by an observer who is at rest at the centre of the circular path, when engine blows the whistle with frequency 250 Hz?

If the radius of the spherical Gaussian surface is increased then the electric flux due to a point charge enclosed by the surface ______ 

A charge 'q' is moving in a circular path of radius 'r' with uniform speed 'v'. The magnetic moment associated with the charged particle is ____________.

The escape velocity of a body on a planet 'A' is 12 kms^–1. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is ______.

In the figure, a very large plane sheet of positive charge is shown. P₁ and P₂ are two points at distance l and 2l from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields E₁ and E₂ at P₁ and P₂ respectively are ______.

A vertical electric field of magnitude 4.9 × 10⁵ N/C just prevents a water droplet of a mass 0.1 g from falling. The value of charge on the droplet will be: (Given g = 9.8 m/s²).

Two vectors `vec"A"` and `vec"B"` have equal magnitudes. If magnitude of `vec"A"` + `vec"B"` is equal to two times the magnitude of `vec"A"` - `vec"B"`, then the angle between  `vec"A"` and `vec"B"` will be ______.

For which angle between two equal vectors `vec"A"` and `vec"B"` will the magnitude of the sum of two vectors be equal to the magnitude of each vector?

In the following network, the current flowing through 15 Ω resistance is ______.

The magnetic moment (m_orb) of a revolving electron around the nucleus varies with the principal quantum number (n) as ______.

In a compound microscope, let u₀ and v₀ be the object distance and image distance respectively. The objective of focal length f₀ magnifies a tiny object into a real, inverted image. The linear magnification of the objective is ______.

A beam of light passes from medium 1 to medium 2 to medium 3 as shown in the diagram. What may be concluded about the three refractive indices n₁, n₂ and n₃?

The displacement of a particle in a periodic motion is given by `y = 4cos^2(t/2)sin(1000t)`. This displacement may be considered the result of the superposition of n independent harmonic oscillation. Find the value of n.

If a centre tap transformer is used with 2 diodes for full-wave rectification, then output voltage of rectifier w.r.t. each diode is ______.

For a wave, y = 0.0002 sin`[2pi(110"t"-x/3)+pi/3]` is travelling in a medium. The energy per unit volume being transferred by wave if density of medium is 1.5 kg/m³, is ______.

A γ-ray photon is passing near a nucleus and breaks into an electron and positron. The region contains a uniform magnetic field B perpendicular to the plane of motion. Find the time after which they again converted into γ-ray. The force of electrostatic interaction and gravitational interaction may be neglected.

Two positively charged particles each having charge Q and are d distance apart. A third charge is introduced in midway on the line joining the two. Find nature and magnitude of third charge, so that the system is in equilibrium ______.

A current carrying closed loop in the form of a right angled isosceles ΔABC is placed in a uniform magnetic field acting along AB. If the magnetic force on the arm BC is F, then force on the arm AC is ______.

The magnetic moment of the current carrying loop shown in the figure is equal to ______.