List of practice Questions

In which of the following molecules are all the bonds not equal?

The electronegativity difference between N and F is greater than that between N and H yet the dipole moment of NH₃ (1.5 D) is larger than that of NF₃ (0.2 D). This is because:

A plot of \(log\ \frac {x}{m}\) versus \(log \ p\) for the adsorption of a gas on a solid gives a straight line with slope equal to:

Nucleophilic addition reaction will be most favoured in:

What amount of bromine will be required to convert 2 g of phenol into 2,4,6-tribromo phenol ?

Methyl bromide is converted into ethane by heating it in ether medium with

If $A = \begin{bmatrix} {1}&{-3}\\ {2}&{K} \\ \end{bmatrix}$ and $A^2-14A+10I=A$,then $K$ = is equal to :

An equilateral triangle is inscribed in the parabola y$^2$ = 4x one of whose vertex is at the vertex of the parabola, the length of each side of the triangle is

If x = -9 is a root of A = $\begin{vmatrix} x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & x \\ \end{vmatrix}$ = 0, then other two root are

The values of $\alpha$ for which the system of equation x + y + z = 1, x + 2y + 4z = $\alpha$, x + 4y + 10z = $\alpha^2$ is consistent are given by

Let A=$\begin{bmatrix} 1 & 3 & 2 \\ 2 & 5 &t \\ 4&7-t&-6 \\ \end{bmatrix}$, then the values of t for which inverse of A does not exist

If $\alpha \, and \, \beta$ are the roots of the equation ax+bx+c=0, then the value of $\alpha^{3} \, + \, \beta^{3}$ is

An equation of the plane passing through the line of intersection of the planes x + y + z = 6 and 2x + 3y + 4z + 5 = 0 and passing through (1, 1, 1) is

The length of the shortest distance between the lines $\vec{r}=3\hat{i}+5\hat{j}+7\hat{k}+\lambda(\hat{i}-2\hat{j}+\hat{k})$ and $\vec{r} = -\hat{i}-\hat{j}-\hat{k}+\mu (7\hat{i}-6\hat{j}+\hat{k})$ is

The particular integral of $\frac{d^2y}{dx^2}+2y=x^2$is

The value of the integral $\int\limits_{0}^{\frac{\pi}{2}} log \left(tan\,x\right)dx=$

How many asymmetric carbon atoms are present in : (i) $1,2$-dimethylcyclohexane, (ii) $3$-methylcyclopentene and (iii) $3$-methylcyclohexene ?

When glucose reacts with bromine water the main product is :

The probability of finding the electron in the orbital is :

In the reaction $CH_3CN + 2H \xrightarrow [SnCl_2] {HCl}X \xrightarrow {\text{boiling} \, H_2 O} Y, $ The term $Y$ is :

\(SO_2\) does not acts as :

The distance between the pair of parallel lines $ x^2 + 2xy + y^2 - 8ax - 8ay - 9a^2 = 0$ is :

Which of the following is called Berthelot�s salt ?