List of top Questions asked in MHT CET- 2025

Which among the following is dicarboxylic acid?
Which of the following statements is NOT correct regarding order of reaction?
The sum to infinite terms of the series $\tan^{-1} \left(\frac{1}{3}\right) + \tan^{-1} \left(\frac{2}{9}\right) + ..................... + \tan^{-1} \left(\frac{2^{n-1}}{1+2^{2n-1}}\right) + ..............$ is
A population $p(t)$ of 1000 bacteria introduced into a nutrient medium grows according to the relation $\text{p}(t) = 1000 + \frac{1000t}{100+t^2}$. The maximum size of this bacterial population is
Evaluate the following integrals: \[ \int \frac{(x^4 + 1)}{x(2x + 1)^2} \, dx \] and \[ \int \frac{1}{x^4 + 5x^2 + 6} \, dx \]
The equation for the RMS velocity is given as \[ v_{\text{rms}} = \sqrt{\frac{3RT}{M_0}} \] where \( R \) is the gas constant, \( T \) is the temperature, and \( M_0 \) is the molecular mass. If the temperature is increased, find the new RMS velocity \( v_{\text{rms}} \) when the temperature is doubled.}

A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either \(\{odd, even, odd\}\) or \(\{even, odd, even\}\) is

The line $L$ is passing through $(1, 2, 3)$. The distance of any point on the line $L$ from the line $\vec{r} = (3\lambda - 1)\hat{i} + (-2\lambda + 3)\hat{j} + (4 + \lambda)\hat{k}$ is constant. Then the line $L$ does not pass through the point ______. 

If $f(1) = 3,\; f'(1) = 2$, then $\dfrac{d}{dx}\left\{\log\left[f\left(e^x + 2x\right)\right]\right\}$ at $x = 0$ is ______.

The distance of the plane $\vec{r} = (\hat{i} - \hat{j}) + \lambda(\hat{i} + \hat{j} + \hat{k}) + \mu(\hat{i} - 2\hat{j} + 3\hat{k})$ from the origin is ______.

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 ______. 

If the area of a parallelogram, whose diagonals are $\hat{i} - \hat{j} + 2\hat{k}$ and $2\hat{i} + 3\hat{j} + \alpha \hat{k}$ is $\dfrac{\sqrt{93}}{2}$ sq. units, then find $\alpha$.

Two polaroids are placed in the path of unpolarised beam of intensity ' $\text{I}_0$ ' such that no light is emitted from the second polaroid. If a third polaroid whose polarisation axis makes an angle ' $\theta$ ' with the polarisation axis of first polaroid is placed between these polaroids then the intensity of light emerging from the last polaroid will be}
A monoatomic ideal gas, initially at temperature $\text{T}_1$ is enclosed in a cylinder fitted with massless, frictionless piston. By releasing the piston suddenly, the gas is allowed to expand adiabatically to a temperature $\text{T}_2$. If $\text{L}_1$ and $\text{L}_2$ are the lengths of the gas columns before and after expansion respectively, then $(\text{T}_2/\text{T}_1)$ is given by}
In n-type semiconductor, free electrons donated by the impurity atoms occupy energy levels in}
When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit}
Two bodies A and B at temperatures ' $\text{T}_1$ ' $\text{K}$ and ' $\text{T}_2$ ' $\text{K}$ respectively have the same dimensions. Their emissivities are in the ratio $16 : 1$. At $\text{T}_1 = x\text{T}_2$, they radiate the same amount of heat per unit area per unit time. The value of $x$ is
In an isobaric process of an ideal gas, the ratio of heat supplied and work done by the system $\left(\frac{\text{Q}}{\text{W}}\right)$ is $\left[\frac{\text{C}_{\text{P}}}{\text{C}_{\text{V}}} = \gamma\right]$.
A coil has inductance $2 \text{ H}$. The ratio of its reactance when it is connected first to an a.c. source and then to a d.c. source is
The lengths of the two organ pipes open at both ends are ' $L$ ' and $(L + L_1)$. If they are sounded together, the beat frequency will be ($v = $ velocity of sound in air)}
An alternating e.m.f. is given by $e = e_0 \sin \omega t$. In how much time the e.m.f. will have half its maximum value, if e starts from zero ? ($\text{T} = \text{Time Period, } \sin 30^\circ = \frac{1}{2}$)}
When the pressure of the gas contained in a closed vessel is increased by 2.5%, the temperature of the gas increases by 4 K . The initial temperature of the gas is
A charge $Q\mu\text{C}$ is placed at the centre of a cube. The flux through two opposite faces of the cube is ($\varepsilon_0 = $ permittivity of free space)}
Black bodies A and B radiate maximum energy with wavelength difference $4\mu \text{ m}$. The absolute temperature of body A is 3 times that of B. The wavelength at which body $B$ radiates maximum energy is
A ray of light from a monochromatic point source of light is incident at a point on the screen. If a thin mica film of thickness ' $t$ ' and refractive index ' $n$ ' is introduced in its path, then the optical path}