List of top Questions asked in MHT CET

Charges of $2\mu C$ and $-3\mu C$ are placed at two points A and B separated by distance of 1 m. The distance of the point from A where net potential is zero is ______.

What is the coordination number of a particle in simple cubic close packed structure?

When magnetic flux changes from $6.5 \times 10^{-2}$ Wb to $11 \times 10^{-2}$ Wb and the change in current is 0.03 A, the coefficient of mutual inductance will be ______.

If $y = \alpha \log x + \beta x^2 - x$ has extreme values at $x = -1$ and $x = 1$, then $\alpha$ and $\beta$ are respectively ______.

A triangle ABC is formed by A(1, -1, 0), B(3, 5, 3), C(-11, -5, 6). The equation of the internal angle bisector of angle A is ______.

The capacity of air filled parallel plate capacitor is $C_0$. One-half of the space between the plates is filled with a dielectric constant 'K' as shown in figure. The new capacity becomes $C_n$. The ratio $C_n$ to $C_0$ is ______.

Which among the following compounds does NOT form intermolecular hydrogen bonding?

Two circuits A and B are connected to identical d.c. sources each of e.m.f. 10 volt. Self-inductances are $L_A = 10$ H and $L_B = 10$ mH. The total resistance of each circuit is 40 $\Omega$. The ratio of energy consumed in circuit A and circuit B to build up the current to steady value is ______.

Which from following is a weak field ligand?

The general solution of the differential equation $\frac{dy}{dx} = \cot x \cdot \cot y$ is ______.

In the equation, $\text{BiO}_{3}^{-}+6\text{H}^{+}+xe^{-}\rightarrow \text{Bi}^{3+}+3\text{H}_{2}\text{O}$ What is the value of x?

The wavelength '$\lambda$' of a photon and the deBroglie wavelength of an electron have same value. The ratio of kinetic energy of the electron to the energy of a photon is ______.

A resistor of 5 $\Omega$, inductor of self inductance $\left(\frac{2}{\pi}\right)$ H and a capacitor of unknown capacity are connected in series to an a.c. source of 100 V, 50 Hz supply. When the voltage and current are in phase, the value of capacitance is ______.

If the plane $\frac{x}{2} + \frac{y}{3} + \frac{z}{6} = 1$ cuts the co-ordinate axes at points A, B, C respectively, then area of the triangle ABC is ______.

The number of ways in which a team of 11 players can be formed out of 25 players, if 6 out of them are always to be included and 5 of them are always to be excluded, is ______.

Find out the total number of electrons present in 3.2 g methane?

Which of the following reagents is used to convert $\text{C}\equiv \text{C}$ triple bond to $\text{C=C}$ double bond to give Cis isomer of alkene?

If $\int \frac{(x^4+1)}{x(x^2+1)^2} \, dx = A \log |x| + \frac{B}{1+x^2} + c$, then $A - B$ is ______.

The angle between the tangents drawn from the point (1, 4) to the parabola $y^2 = 4x$, is ______.

Let $\vec{a} = \alpha\hat{i} + 3\hat{j} - \hat{k}$, $\vec{b} = 3\hat{i} - \hat{j} + \beta\hat{k}$ and $\vec{c} = \hat{i} + 2\hat{j} - 2\hat{k}$ where $\alpha, \beta \in \mathbb{R}$, be three vectors. If the projection of $\vec{a}$ on $\vec{c}$ is $\frac{10}{3}$ and $\vec{b} \times \vec{c} = -6\hat{i} + 10\hat{j} + 7\hat{k}$, then the value of $(\alpha + \beta)$ is ______.

Which from following polymers does NOT contain either -COO- or -CO-NH- linkage in it?

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

$\int_{1/2}^{2} \frac{1}{x} \csc^{101} \left( x - \frac{1}{x} \right) dx = $ ______.

An infinitely long straight conductor carrying current 'I' is bent into a shape as shown in figure. The radius of the circular loop is 'r'. The magnetic induction at the centre of the loop at point 'O' is ______.

Let $\vec{a}$, $\vec{b}$ and $\vec{c}$ be vectors of magnitude 2, 3 and 4 respectively. If $\vec{a} \cdot (\vec{b} + \vec{c}) = 0$, $\vec{b} \cdot (\vec{c} + \vec{a}) = 0$ and $\vec{c} \cdot (\vec{a} + \vec{b}) = 0$, then the magnitude of $\vec{a} + \vec{b} + \vec{c}$ is ______.