List of top Questions asked in MHT CET

A body is thrown from the surface of the Earth with velocity \( V \, \text{m/s} \). The maximum height above the Earth's surface up to which it will reach is
\textit{(R = radius of earth, \( g \) = acceleration due to gravity)}
Two rods of the same material and volume having circular cross-section are subjected to tension \( T \). Within the elastic limit, the same force is applied to both the rods. Diameter of the first rod is half of the second rod, then the extensions of the first rod to second rod will be in the ratio
A coil of \( n \) turns and resistance \( R \, \Omega \) is connected in series with a resistance \( \frac{R}{2} \). The combination is moved for time \( t \) second through magnetic flux \( \phi_1 \) to \( \phi_2 \). The induced current in the circuit is
In amplitude modulation,
When a small amount of impurity atoms are added to a semiconductor then generally its resistivity
An iron rod is placed parallel to the magnetic field of intensity 2000 \( A/m \). The magnetic flux through the rod is \( 6 \times 10^{-4} \, Wb \) and its cross-sectional area is \( 3 \, cm^2 \). The magnetic permeability of the rod in \( \frac{Wb}{A \cdot m} \) is
A charged particle is moving in a uniform magnetic field in a circular path of radius \( R \). When the energy of the particle becomes three times the original, the new radius will be
If there is a change of angular momentum from 1 J·s to 4 J·s in 4 seconds, then the torque is
A particle is moving in a circle of radius \( R \) with constant speed \( V \). The magnitude of average acceleration after half revolution is
The extension in a wire obeying Hooke’s law is \( x \). The speed of sound in the stretched wire is \( V \). If the extension in the wire is increased to \( 4x \), then the speed of sound in the wire is
Two waves \( y_1 = 0.25 \sin(316 t) \) and \( y_2 = 0.25 \sin(310 t) \) are propagating along the same direction. The number of beats produced per second are
In Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?
The capacitance of a parallel plate capacitor with air as medium is \( 3 \, \mu \text{F} \) . With the introduction of a dielectric medium between the plates, the capacitance becomes \( 15 \, \mu \text{F} \) . The permittivity of the medium in SI units is \( \epsilon_0 = 8.85 \times 10^{-12} \, \text{F/m} \).
A potentiometer wire is 4 m long and potential difference of 3 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the potentiometer wire is
The mass of the earth is 81 times the mass of the moon and the distance between their centres is \( R \). The distance from the centre of the earth where gravitational force will be zero is
Two wires A and B of equal lengths are connected in left and right gap of a metre bridge, null point is obtained at 40 cm from left end. Diameters of the wires A and B are in the ratio 3:1. The ratio of specific resistance of A to that of B is
The ratio of speed of an electron in the ground state in an atom to the velocity of light (c) is
$(h = \text{Planck's constant}, \epsilon_0 = \text{permittivity of free space})$
If rectangles are inscribed in a circle of radius \( r \) units, then the dimensions of the rectangle which has maximum area are
If a point \( P \) on the line segment joining the points \( (3, 5, -1) \) and \( (6, 3, -2) \) has its \( y \)-coordinate 2, then its \( z \)-coordinate is
The entries in the last column of the truth table for \( \neg (p \wedge q) \) are
If \( A, B, C \) are angles of a triangle ABC, then \( \tan 2A + \tan 2B + \tan 2C = \)
The growth of population is proportional to the number present. If the population of a colony doubles in 50 years, then the population will become triple in
Energy of the incident photon on the metal surface is ' 3W ' and then ' 5W ', where 'W' is the work function for that metal. The ratio of velocities of emitted photoelectrons is
If a fair coin is tossed 8 times, then the probability that it shows heads more than tails is
The distance of the point \( (7, 5, 2) \) from the plane \( 3x + 4y + 2z - 8 = 0 \) measured parallel to the line \( \frac{x - 1}{3} = \frac{y - 2}{6} = \frac{z + 1}{2} \) is