List of practice Questions

An alloy of transition metal containing a non transition metal as a constituent is

Propanal on reaction with dilute sodium hydroxide forms:

Aryl halides doesn't undergo nucleophilic substitution reactions under ordinary conditions because of 1. approach of nucleophile is retarded 2. carbon carrying halogen atoms is $sp^3$ - hybridised 3. the substrate molecule is destabilised due to resonance 4. partial double bond character between carbon and halogen

Ethylene glycol reacts with excess of $PCl_5$ to give

An important industrial solvent, also a laboratory reagent called 2-butanone is nothing but:

A dye that imparts different colours to the fabric with different metal ions is called

An invert sugar is

Aniline is treated with $NaNO_2 / HCl$ at $0^{\circ}C$ to give compound $X$ which on treatment with cuprous cyanide give another compound $Y$. When compound $Y$ is treated with $H_2/Ni$ compound $Z$ is obtained. Compound $Z$ is

Facial and meridional isomerism will be exhibited by

Finkelstein reaction is an example of

For Balmer series in the spectrum of atomic hydrogen, the wave number of each line is given by $\bar\upsilon = R_H (\frac{1}{n_1^2} - \frac{1}{n_2^2})$ where $R_H$ is a constant and $n_1$and $n_2$ are integers. Which of the following statement(s) is (are) correct? 1. As wavelength decreases, the lines in the series converge 2. The integer $n_1$ is equal to $2$ 3. The ionisation energy of hydrogen can be calculated from the wave number of these lines 4. The line of longest wavelength corresponds to $n_2 = 3$

Reaction of butanone with methyl magnesium bromide following by hydrolysis gives

Solubility product $(K_{sp}) $ of saturated $PbCl_2$ in water is $1.8 \times 10^{-4} \, mol^3 \, dm^{-9}$. What is the concentration of $Pb^{2+}$ in the solution?

The boiling point of methanol is greater than methyl thiol because

The distance between the line $ \overrightarrow{r}=(2\hat{i}+2\hat{j}-\hat{k})+\lambda (2\hat{i}+\hat{j}-2\hat{k}) $ and the plane $ \overrightarrow{r}.(\hat{i}+2\hat{j}+2\hat{k})=10 $ is equal to

Suppose that two persons $A$ and $B$ solve the equation $ {{x}^{2}}+ax+b=0 $ . While solving $A$ commits a mistake in the coefficient of $ x $ was taken as $15$ in place of $-9$ and finds the roots as $ -7 $ and $ -2 $ . Then, the equation is

The solution of $\frac{dy}{dx} + y \, \tan \, x = \sec \, x, y (0) = 0$ is

If the direction cosines of a vector of magnitude $3$ are $\frac{2}{3},\frac{-a}{3},\frac{2}{3}, a>0, $ then the vector is

If \(\begin{bmatrix}e^{x}&e^{y}\\ e^{y}&e^{x}\end{bmatrix} = \begin{bmatrix}1&1\\ 1&1\end{bmatrix}\), then the values of \(x\) and \(y\) are respectively:

If the scalar product of the vector $ \hat{i}+\hat{j}+2\hat{k} $ with the unit vector along $ m\hat{i}+2\hat{j}+3\hat{k} $ is equal to $2$, then one of the values of $m$ is

If the plane $ 3x+y+2z+6=0 $ is parallel to the line $ \frac{3x-1}{2b}=3-y=\frac{z-1}{a}, $ then the value of $ 3a+3b $ is

If the set $A$ contains $5$ elements, then the number of elements in the power set $ P(A) $ is equal to

If the straight line $y = 4x + c$ touches the ellipse $\frac{x^2}{4} + y^2 = 1 $ then c is equal to

If $\frac{|x-3|}{x-3}$ > 0 , then

If $y^{2}=100 \tan^{-1}x+45 sec^{-1}x ,$ then $\frac{dy}{dx}=$