List of top Questions asked in MHT CET- 2026

Find the unit vector perpendicular to both \( \vec{a} = 2\hat{i} - \hat{j} + \hat{k} \) and \( \vec{b} = \hat{i} + 2\hat{j} - 3\hat{k} \).

If \( y = \sin^{-1}(3x - 4x^3) \), find \( \dfrac{dy}{dx}. \)

Identify the major product formed when Ethyl Bromide reacts with alcoholic KOH.

What is the order of the differential equation \( \dfrac{d^2 y}{dx^2} + \left(\dfrac{dy}{dx}\right)^3 = 0 \)?

Find the slope of the normal to the curve \(y = 2x^2 + 3\sin x\) at \(x = 0\).

Evaluate \( \int \log x \, dx \).

What is the energy of a photon of frequency \( \nu \)?

In an AC circuit, what is the power factor of a pure resistor?

What is the value of escape velocity on the Earth's surface?

What is the SI unit of molar conductivity?

Identify the product when Phenol reacts with Bromine water.

Which reagent is used in the Reimer--Tiemann reaction to convert phenol to salicylaldehyde?

What is the oxidation state of Phosphorus in \( H_3PO_4 \)?

A stone is dropped from a height of \(20\,\text{m}\); calculate its velocity just before it hits the ground \((g = 10\,\text{m/s}^2)\).

Evaluate the integral: \( \displaystyle \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \) (where \(C\) is a constant of integration).

What is the difference in the oxidation number of Manganese (Mn) between \( \text{KMnO}_4 \) and \( \text{MnO}_2 \)?

Find the osmotic pressure of a \(0.1\,M\) glucose solution at \(27^\circ C\) \((R = 0.0821\,L\,atm\,mol^{-1}K^{-1})\).

Evaluate the definite integral: \( \displaystyle \int_{0}^{\pi/2} \frac{\sin^n x}{\sin^n x + \cos^n x}\, dx \).

Name the catalyst used in the manufacture of ammonia by Haber’s process.

What is the hybridization of the central atom in \(SF_6\) molecule?

Calculate the number of atoms per unit cell in a Face-Centered Cubic (FCC) crystal structure.

Find the energy stored in a capacitor of \(10\,\mu F\) charged to a potential of \(50\,V\).

If the current in a coil changes from \(5\,\text{A}\) to \(2\,\text{A}\) in \(0.1\,\text{s}\) and an average emf of \(30\,\text{V}\) is induced, find the self-inductance.

What is the ratio of the surface area of two soap bubbles if their radii are in the ratio \(2:3\)?

Calculate the de Broglie wavelength of an electron accelerated through a potential difference of \(100\,\text{V}\).