List of top Questions asked in MHT CET- 2025

The half life values for two different first order reaction A and B are 75 minute and 2.5 hour respectively. What is the $\frac{\text{r}_B}{\text{r}_A}$ ratio of rate constants?
If \(A = \left[ \begin{array}{cc} 1 & \cot \frac{\theta}{2} \\ -\cot \frac{\theta}{2} & 1 \end{array} \right]\) then \(A^{-1} =\)
A particle performing uniform circular motion of radius $\frac{\pi}{2} \text{ m}$ makes $x$ revolutions in time $t$. Its tangential velocity is
Two gases A and B are at absolute temperatures 350 K and 420 K respectively. The ratio of average kinetic energy of the molecules of gas B to that of gas A is
The distance between the lines represented by \[ 16x^2 + 9y^2 + 48x - 24xy - 36y + 35 = 0 \] is ......... units
In a DNA molecule, which of the following base-pairings is correct?
A car accelerates uniformly from rest to a velocity of \( 25 \, \text{m/s} \) in \( 10 \, \text{seconds} \). What is the acceleration of the car?
For a gas at a particular temperature on an average, the quantity which remains same for all molecules is
Calculate the mass in kg of 4.48 dm$^3$ carbon dioxide at STP.
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?
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?
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?