List of top Questions asked in MHT CET- 2025

Identify the element having highest ionisation enthalpy ( $IE_1$ ) from following.
A body of mass \( 5 \, \text{kg} \) is placed on a frictionless inclined plane of angle \( 30^\circ \). What is the component of the weight of the body along the plane?
If \( \tan \theta = 2 \), then the value of \( \sec^2 \theta \) is:
A car of mass 1000 kg is moving in a circular path of radius 50 m with a speed of 20 m/s. Calculate the centripetal force acting on the car.
A lens has focal length $ f = 20 \, \text{cm} $. What is the power of the lens?
If r.m.s. velocity of hydrogen molecules is 4 times that of an oxygen molecule at $47^{\circ}\text{C}$, the temperature of hydrogen molecules is (Molecular weight of Hydrogen and Oxygen are 2 and 32 respectively)}
A convex lens has a focal length of 20 cm. An object is placed 30 cm in front of the lens. What is the image distance from the lens?
A solution contains 10 g of NaOH dissolved in 500 mL of water. What is the molarity of the NaOH solution?
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 (\(g = 10 \text{ m/s}^2\))
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 (\(g = 10 \text{ m/s}^2\))
A thin spherical shell of radius \( 0.5 \, \text{m} \) and mass \( 2 \, \text{kg} \) is rotating about its axis of symmetry with an angular velocity of \( 10 \, \text{rad/s} \). What is its moment of inertia?
Identify from the following an example of intensive property.
A weightless thread can bear tension up to $3.7 \text{ kg wt}$. A stone of mass $500 \text{ gram}$ is tied to it and revolved in circular path of radius $4 \text{ m}$ in vertical plane. Maximum angular velocity of the stone will be (acceleration due to gravity, $g = 10 \text{ m/s}^2$ )}
In an LC circuit, the inductance \( L \) is \( 2 \, \text{H} \) and the capacitance \( C \) is \( 4 \, \mu\text{F} \). What is the frequency of oscillation of the circuit?
Which of the following reactions exhibits decrease in entropy?
Point charges +q, -q, -q, q, +Q and -q are at the vertices of a hexagon. The E-field at O due to A, B, C, D, F is twice the field due to +Q at E. The value of Q is:
What is the volume occupied by \(0.5\text{ mol}\) of \(\text{CO}_2\) at STP?
Which of the following ions will have the highest lattice energy?
Which of the following is the correct IUPAC name for the compound with the molecular formula \( C_5H_{12} \) that contains a branched chain with a methyl group attached to the second carbon of a butane chain?
If $ f(x) = 2x^2 - 3x + 5 $, find $ f(3) $.
Calculate the osmotic pressure of 0.2 M aqueous solution of electrolyte at 300 K. If van't Hoff factor is 1.6 [R = 0.0821 atm dm$^3$ K$^{-1}$ mol$^{-1}$].
A car travels at a speed of $ 72 \, \text{km/h} $. What is the car's speed in meters per second?
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: