List of top Questions asked in MHT CET- 2025

What is the volume occupied by \(0.5\text{ mol}\) of \(\text{CO}_2\) at STP?

Calculate the osmotic pressure of 0.2 M aqueous solution of electrolyte at 300 K. If van't Hoff factor is 1.6 [R = 0.0821 atm dm$^3$ K$^{-1}$ mol$^{-1}$].

The distance between the lines represented by \[ 16x^2 + 9y^2 + 48x - 24xy - 36y + 35 = 0 \] is ......... units

A ball is dropped on the floor from a height of \(20 \text{ m}\). It rebounds to a height of \(5 \text{ m}\). Ball remains in contact with floor for \(1 \text{ s}\). The average acceleration during contact is (\(g = 10 \text{ m/s}^2\))

The length of the altitude through the point \( D \) of the tetrahedron where the vertices of the tetrahedron are
\[ A(2, 3, 1), B(4, 1, -2), C(6, 3, 7), D(-5, -4, 8), \] is

The volume of the tetrahedron whose coterminous edges are represented by
\[ \mathbf{a} = -12\hat{i} + p\hat{k}, \quad \mathbf{b} = -3\hat{j} - \hat{k}, \quad \mathbf{c} = -2\hat{i} + \hat{j} - 15\hat{k}, \] is 570 cu. units, then \( p = \)

The direction ratios of the line of intersection of the planes \( x - y + z - 5 = 0 \) and \( x - 3y - 6 = 0 \), are:

Two long parallel wires carry currents \( I_1 \) and \( I_2 \) (\( I_1 > I_2 \)). When currents are flowing in the same direction, the magnetic field at a point midway between the wires is \( 6 \times 10^{-6} \, \text{T} \). If the direction of \( I_2 \) is reversed, the field at the midpoint becomes \( 3 \times 10^{-5} \, \text{T} \). The ratio \( I_1 : I_2 \) is

Heat is given to an ideal gas in an isothermal process. Then

A parallel plate capacitor has plate area 50 cm\(^2\) and plate separation 3 mm. The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 4. The capacitance becomes ( \( \epsilon_0 \) = permittivity of free space)

When a light of wavelength \( \lambda \) falls on the emitter of a photocell, maximum speed of emitted photoelectrons is \( v \). If the incident wavelength is changed to \( \frac{2}{3} \lambda \), the maximum speed of emitted photoelectrons will be:

A vehicle starts from rest and accelerates along straight path at \( 2 \, \text{m/s}^2 \). At the starting point of the vehicle, there is a stationary electric siren. How far has the vehicle nearly gone when the driver hears the siren at 94% of its value when the vehicle was at rest? (speed of sound = 220 m/s)

A pendulum bob has a speed of 4 m/s at its lowest position. The pendulum is 1 m long. When the length of the string makes an angle of 60° with the vertical, the speed of the bob at that position is (acceleration due to gravity, \( g = 10 \, \text{m/s}^2, \cos(60^\circ) = 0.5) \)

What is the phase difference between the flux linked with a coil rotating in a uniform magnetic field and the induced e.m.f. produced in it?

The temperature of an ideal gas is increased from 100 K to 400 K. If \( v \) is the R.M.S. velocity of its molecules at 100 K, it becomes

If an ammeter is to be used in place of a galvanometer, then we must connect

Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is \( I \). If the same rod is bent in the form of a ring, its moment of inertia about the diameter is \( I' \). If \( I_1 = I_2 \), then the value of \( x \) is

A plano-convex lens fits exactly in to a plano-concave lens. Their plane surfaces are parallel to each other. Lenses are made up of different materials of refractive indices \( n_1 \) and \( n_2 \) and \( R \) is the radius of curvature of the curved surface of lenses. Focal length of the combination is

The length of the simple pendulum is made 3 times the original length. If \( T \) is its original time period, then the new time period will be

A parallel plate capacitor having plate area \( A' \) and separation \( d' \) is charged to a potential difference \( V \). The charging battery is disconnected and the plates are pulled apart to four times the initial separation. The work required to increase the distance between the plates is