List of top Questions asked in MHT CET

A buffer solution is prepared by mixing 0.2 M sodium acetate and 0.1 M acetic acid. If $pK_{a}$ for acetic acid is 4.7, find the pH.

Which among the following reactions exhibits $\Delta H=\Delta U$?

Which from following is the slope of the graph of rate versus concentration of the reactant for first order reaction?

What are different possible oxidation states exhibited by scandium?

What is the packing efficiency of silver metal in its unit cell?

Identify number of moles of donor atoms in 2n mole of SCN.

Calculate current in ampere required to deposit 4.8 g Cu from it's salt solution in 30 minutes. [Molar mass of $Cu=63.5\text{ g mol}^{-1}$]

Which from following polymers is obtained from $C_{2}F_{4}$?

Calculate $\Delta G^{\circ}$ for the cell: $Sn_{(s)}|Sn_{(1M)}^{2+}||Ag_{(1M)}^{+}|Ag_{(s)}$ at $25^{\circ}C (E_{cell}^{\circ}=0.90~V)$

If the Cartesian equation of a line is $6x-2=3y+1=2z-2$, then the vector equation of the line is

A compound made of elements A and B form fcc structure. Atoms of A are at the corners and atoms of B are present at the centres of faces of cube. What is the formula of the compound?

Which from following statements is NOT correct?

The volume of parallelopiped, whose coterminous edges are given by $\overline{u}=\hat{i}+\hat{j}+\lambda\hat{k}, \vec{v}=\hat{i}+\hat{j}+3\hat{k}, \overline{w}=2\hat{i}+\hat{j}+\hat{k}$ is 1 cu. units. If $\theta$ is the angle between $\overline{u}$ and $\overline{w}$, then the value of $\cos\theta$ is

Which of the following molecules has no lone pair of electrons on central atom?

If $[(\overline{a}+2\overline{b}+3\overline{c})\times(\overline{b}+2\overline{c}+3\overline{a})]\cdot(\overline{c}+2\overline{a}+3\overline{b})=54$ then the value of $[\overline{a}\overline{b}\overline{c}]$ is

$\int\frac{1}{\sin(x-a)\sin x}dx=$

The scalar product of the vector $\hat{i}+\hat{j}+\hat{k}$ with a unit vector along the sum of the vectors $2\hat{i}+4\hat{j}-5\hat{k}$ and $\lambda\hat{i}+2\hat{j}+3\hat{k}$ is equal to 1, then value of $\lambda$ is

The derivative of $f(\sec x)$ with respect to $g(\tan x)$ at $x=\frac{\pi}{4}$, where $f^{\prime}(\sqrt{2})=4$ and $g^{\prime}(1)=2$, is

The number of discontinuities of the greatest integer function $f(x)=[x]$, $x\in(-\frac{7}{2},100)$

A spherical raindrop evaporates at a rate proportional to its surface area. If originally its radius is 3 mm and 1 hour later it reduces to 2 mm, then the expression for the radius R of the raindrop at any time t is

If $\cos^{-1}x-\cos^{-1}\frac{y}{3}=\alpha$, where $-1\le x\le1$, $-3\le y\le3$, $x\le\frac{y}{3}$, then for all $x, y$, $9x^{2}-6xy\cos\alpha+y^{2}$ is equal to

If $f(1)=1$, $f^{\prime}(1)=3$, then the derivative of $f(f(f(x)))+(f(x))^{2}$ at $x=1$ is

Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of random variable X, where X is the sum of numbers on the uppermost faces, is

The distance of the point having position vector $\hat{i}-2\hat{j}-6\hat{k}$ from the straight line passing through the point $(2,-3,-4)$ and parallel to the vector $6\hat{i}+3\hat{j}-4\hat{k}$ is

A vector $\vec{n}$ is inclined to X-axis at 45°, Y-axis at 60° and at an acute angle to Z-axis. If $\vec{n}$ is normal to a plane passing through the point $(-\sqrt{2},1,1)$ then equation of the plane is