List of top Questions asked in MHT CET- 2025

The de-Broglie wavelength of a neutron at \( 27^\circ\text{C} \) is ' \( \lambda_0 \) '. What will be its wavelength at \( 927^\circ\text{C} \)?

The magnitude of gravitational potential energy of a body at a distance ' \( R \) ' from the centre of the earth is ' \( E \) '. Its weight at a distance ' \( 1.5 R \) ' from the centre of the earth is

In the given circuit, current flowing through the circuit is

A solid cylinder of mass ' \( M \) ' and radius ' \( R \) ' is rotating about its geometrical axis. A solid sphere of same mass and same radius is also rotating about its diameter with an angular speed half that of the cylinder. The ratio of the kinetic energy of rotation of the sphere to that of the cylinder will be}

Photoelectric emission takes place from a certain metal at threshold frequency \( \nu \). If the radiation of frequency \( 4\nu \) is incident on the metal plate, the maximum velocity of the emitted photoelectrons will be (\( m = \) mass of photoelectron, \( h = \) Planck's constant)}

A graph of magnetic flux (\( \phi \)) versus current (\( I \)) is shown for four inductors P, Q, R, S. The largest value of self-inductance is for inductor}

When cell of e.m.f. ' \( E_1 \) ' is connected to potentiometer wire, the balancing length is ' \( l_1 \) '. Another cell of e.m.f. ' \( E_2 \) ' (\( E_1>E_2 \)) is connected so that two cells oppose each other, the balancing length is ' \( l_2 \) '. The ratio \( E_1 : E_2 \) is

A constant force acts on two different masses independently and produces accelerations \( A_1 \) and \( A_2 \). When the same force acts on their combined mass, the acceleration produced is

When the electron orbiting in hydrogen atom goes from one orbit to another orbit (principal quantum number \( = n \)), the de-Broglie wavelength (\( \lambda \)) associated with it is related to \( n \) as}

Initially \( n \) identical capacitors are joined in parallel and are charged to potential V. Now they are separated and joined in series. Then}

A particle executes S.H.M. starting from the mean position. Its amplitude is ' a ' and its periodic time is ' T '. At a certain instant, its speed ' u ' is half that of maximum speed \( V_{\text{max}} \). The displacement of the particle at that instant is

A thin metal wire of length ' L ' and mass ' M ' is bent to form semicircular ring as shown. The moment of inertia about XX' is

A radioactive element A decays into radioactive element C by the following processes in succession. \( A \rightarrow B + _2\text{He}^4; B \rightarrow C + 2e^- \) Then elements}

At any time \( t \), the co-ordinates of moving particle are \( x = at^2 \) and \( y = bt^2 \). The speed of the particle is

Which amino acid from following contains \(\text{--CH}_3\) as side chain?

Calculate the volume occupied by a particle in fcc unit cell if volume of unit cell is 1.6 \(\times\) 10\(^{-23}\) cm\(^3\).

Identify from following reactions that exhibits negative work done.

Which of the following molecules contains maximum number of electrons in antibonding molecular orbitals?

Three charges each of magnitude \(3\mu C\), are placed on the vertices of an equilateral triangle of side 6 cm . The net potential energy of the system will be nearly \(\left[ \frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \text{ SI unit} \right]\)}

A small spherical ball of radius ' r ' is rolling on a curved surface which is frictionless and has a radius of curvature ' R '. Its motion is simple harmonic. Then its time period of oscillation is proportional to ( g = acceleration due to gravity)}

A car is driven on the banked road of radius of curvature 20 m with maximum safe speed. In order to increase its safety speed by 20%, without changing the angle of banking, the increase in the radius of curvature will be [Assume friction is same on the road]}

The percentage error in the measurement of mass and speed of a particular body is 3% and 4% respectively. The percentage error in the measurement of kinetic energy is

The projection of the line segment joining P(2, -1, 0) and Q(3, 2, -1) on the line whose direction ratios are 1, 2, 2 is

Four defective oranges are accidentally mixed with sixteen good ones. Three oranges are drawn from the mixed lot. The probability distribution of defective oranges is

The general solution of the differential equation $\frac{\text{d}y}{\text{d}x} + \sin \left( \frac{x+y}{2} \right) = \sin \left( \frac{x-y}{2} \right)$ is