List of top Questions asked in MHT CET

Which of the following is an acidic oxide?

What is the total number of unit cells shared by each corner particle of bcc unit cell?

Calculate the total volume occupied by all particles in fcc unit cell if volume of unit cell is $6.4 \times 10^{-23}$ cm$^3$.

Calculate the number of unit cells in 1 cm$^3$ volume of metal if unit cell edge length is $1.25 \times 10^{-8}$ cm.

What is molar conductivity at zero concentration in $\Omega^{-1}$ cm$^2$ mol$^{-1}$ for aluminium sulphate, if molar ionic conductivities at zero concentration of Al$^{3+}$ and SO$_4^{2-}$ are 189 $\Omega^{-1}$ cm$^2$ mol$^{-1}$ and 50.1 $\Omega^{-1}$ cm$^2$ mol$^{-1}$ respectively?

The moment of inertia of a solid sphere of mass 'm' and radius 'R' about its diametric axis is 'I'. Its moment of inertia about a tangent in the plane is ______.

Which of the following is an example of second order reaction?

The volume of a metal sphere increases by 0.33% when its temperature is raised by 50$^\circ$C. The coefficient of linear expansion of the metal is ______.

In an open end organ pipe of length 'L', if the velocity of sound is 'V', then the fundamental frequency will be (Neglect end correction) ______.

If the frequency of incident light in a photoelectric experiment is doubled, then stopping potential will ______.

A thin uniform rod of length 'L' and mass 'M' is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is '$\omega$'. Its centre of mass rises to a maximum height of ______.

If the line $\frac{x-3}{2} = \frac{y+5}{1} = \frac{z+2}{2}$ lies in the plane $\alpha x + 3y - z + \beta = 0$, then values of $\alpha$ and $\beta$ respectively are \dots}

In L.P.P., the maximum value of objective function $Z = 6x + 3y$ subject to $x + y \leq 5, x + 2y \geq 4, 4x + y \leq 12, x, y \geq 0$ is \dots

If $\tan(\pi \cos \theta) = \cot(\pi \sin \theta)$, then $\sin\left(\frac{\pi}{4} + \theta\right) = $ ______.

The number of positive integral solutions of $\tan^{-1} x + \cos^{-1} \left( \frac{y}{\sqrt{1+y^2}} \right) = \sin^{-1} \left( \frac{3}{\sqrt{10}} \right)$ are ______.

What is the number of oxygen atoms bonded to chlorine in its strongest oxoacid?

The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by $48^\circ C$ at constant pressure is (Molecular weight of nitrogen = 28, R = gas constant, $C_p = 7/2 R$ for diatomic gas) ______.

The work done in turning a magnet of magnetic moment 'M' by an angle of 90$^\circ$ from the meridian is 'n' times the corresponding work done to turn it through an angle of 60$^\circ$ where the value of 'n' is ______.

Let $R_1, R_2$ and $R_3$ be the radii of three mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is ______.

Calculate the molality of the solution of nonvolatile solute if it freezes at $-0.36^{\circ}\text{C}$. [$K_{f}$ for solvent $=1.86\text{ K kg mol}^{-1}$]}

Out of the following statements which is NOT the characteristics of electric lines of force? ______.

A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is 4 N/m. If at any instant its velocity is 20 cm/s, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m) ______.

If the truth value of the expression $[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q)$ is False, then truth values of p, q, r are respectively ______.

The ratio of the distance of $n^{th}$ bright band and $m^{th}$ dark band from the central bright band in an interference pattern is ______.

What is the common name of Benzene-1,3-diol?