List of top Questions asked in MHT CET- 2025

If the standard reduction potential ($ E^\circ $) of $ \left( \text{Ni}^{2+}_{\text{(aq)}} \mid \text{Ni}_{\text{(s)}} \right) $ and $ \left( \text{Al}^{3+}_{\text{(aq)}} \mid \text{Al}_{\text{(s)}} \right) $ are $ -0.25 \, \text{V} $ and $ -1.66 \, \text{V} $ respectively, then what is the standard emf of the cell reaction?

\[ 2\text{Al}_{\text{(s)}} + 3\text{Ni}^{2+}_{\text{(aq)}} \longrightarrow 2\text{Al}^{3+}_{\text{(aq)}} + 3\text{Ni}_{\text{(s)}} \]

Calculate the number of $\text{Cl}^-$ ions in 222 g unhydrous calcium chloride?
(At. mass $\text{Ca} = 40, \text{Cl} = 35.5$ )

The equation of wave is $y = 60 \sin(1200t - 6x)$, where ' $y$ ' is in micron, ' $t$ ' is in second and ' $x$ ' is in metre. The ratio of maximum particle velocity to the wave velocity of wave propagation is

When a photosensitive metal surface is illuminated with radiation of wavelength ' $\lambda_1$ ', the stopping potential is ' $V_1$ '. If the same surface is illuminated with radiation of wavelength ' $3\lambda_1$ ', the stopping potential is $\frac{V_1}{6}$. The threshold wavelength for the photosensitive metal surface is

A rectangular film of liquid is expanded from $(5\text{ cm} \times 4\text{ cm})$ to $(7\text{ cm} \times 8\text{ cm})$. If the work done is $3 \times 10^{-4}\text{ J}$, the surface tension of the liquid is (nearly)}

Four charges $2\mu\text{C}, -3\mu\text{C}, 4\mu\text{C}, -4\mu\text{C}$ and $-1\mu\text{C}$ are enclosed by the Gaussian surface of radius $2\text{ m}$ . Net outward flux through the Gaussian surface is (in $\mu\text{V} - \text{m}$ ) [ $\epsilon_0 =$ permittivity of free space]}

In a pure silicon crystal electron-hole concentration is $10^{16}$ per $\text{m}^3$ at $301\text{ K}$ . Now $10^{21}$ atoms of phosphorus are added per cubic metre. The new hole concentration in silicon is (in per $\text{m}^3$ )}

The number of integral values of $p$ for which the vectors $(p + 1)\hat{i} - 3\hat{j} + p\hat{k},\; p\hat{i} + (p + 1)\hat{j} - 3\hat{k}$ and $-3\hat{i} + p\hat{j} + (p + 1)\hat{k}$ are linearly dependent, is ______.

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 locus of point of intersection of the tangents to the circle $ x^2 + y^2 = 16 $, such that the angle between them is 60°, is

The locus of the points represented by $ |z + 3| - |z - 3| = 6 $, where $ z $ is a complex number, is ....

If $ f(x) = \frac{k \sin x + 2 \cos x}{\sin x + \cos x} $ is strictly increasing for all real values of $ x $, then:

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

The line passing through the point $ (5, 1, a) $ and $ (3, b, 1) $ crosses the yz-plane at $ (0, \frac{17}{2}, \frac{-13}{2}) $, then the value of $ 2a + 3b $ is:

The area of the region bounded by the curve $ y = |x - 2| $ between $ x = 1 $ and $ x = 3 $.

Calculate the relative lowering of vapor pressure of a solution containing 0.56 g nonvolatile solute in 100 g water [molar mass of solute = 60 g mol$^{-1}$].

What is the number of moles of silver chloride precipitated when excess silver nitrate is treated with one mole of pentaamminecarbonatocobalt (III) chloride?

Identify sequential reactions involved in Sol-Gel process.

Calculate the change in internal energy of the system if 25 kJ of work is done by the system and it absorbs 10 kJ of heat.

Identify correct statement for the reaction:
$ I_2 + KClO_3 \rightarrow ICl + KIO_3 $