List of practice Questions

Shown below is a 3D block. Four such blocks are interlocked in a square form. What will be the top view of the blocks after interlocking?
Problem Figure
Shown in the top row are 4 pieces of building blocks. Which of the option(s) is/are made using all four pieces?
Building blocks
Shown on the left are all the 6 faces of a cube. Which option can be folded into this cube?
6 faces of a cube
The total number of monobromo derivatives formed by the alkanes with molecular formula $C _5 H _{12}$ is (excluding stereo isomers) _______
Let f : \(\R^2 → \R\) be the function defined as follows :
\(f(x,y)=\begin{cases}     (x^2-1)^2\cos^2(\frac{y^2}{(x^2-1)^2}) & \text{if }x \ne ±1 \\     0 & \text{if } x=±1\end{cases}\)
The number of points of discontinuity of f(x, y) is equal to _________.

How many fonts have been used to write the letter Q in the image shown below? 

Let $\vec{a}=\hat{i}+2 \hat{j}+\lambda \hat{k}, \vec{b}=3 \hat{i}-5 \hat{j}-\lambda \hat{k}, \vec{a} \cdot \vec{c}=7,2 \vec{b} \cdot \vec{c}+43=0, \vec{a} \times \vec{c}=\vec{b} \times \vec{c}$. Then $|\vec{a} \cdot \vec{b}|$ is equal to

A fully filled water tank OABCD has a circular arc (AB) of radius 10 m at the bottom as shown in the following figure. The height BC is 10 m. The length OA and CD are 5 m and 15 m, respectively. The density of the water is \(\rho\) kg/m³ and the acceleration due to gravity is \(g\) m/s². The magnitude of the resultant hydrostatic force per unit width acting on AB in N/m lies between 

 

Let $A$ be the area bounded by the curve $y=x|x-3|$, the $x$-axis and the ordinates $x=-1$ and $x=2$ Then $12 A$ is equal to _____
What is double fertilization? Explain.
Which of the following shows negative deviation from Raoult's law?
5 g of non-volatile water soluble compound X is dissolved in 100 g of water. The elevation in boiling point is found to be 0.25. The molecular mass of compound X is
Abnormal colligative properties are observed only when the dissolved non-volatile solute in a given dilute solution
What would be the van't Hoff factor for a solution prepared by dissolving 3.42 g of CaCl$_2$ in 2500 ml of water having an Osmotic pressure equal to 0.75 atm at 27°C? Molar mass of CaCl$_2$ = 111 amu.
If the depression in freezing point of an aqueous solution containing a solute, which is neither dissociated nor associated, is $aK$ with $K_f = b \ \text{K} \cdot \text{kg mol}^{-1}$, what would be the elevation in boiling point ($X$) for this solution if its $K_b = K \ \text{K} \cdot \text{kg mol}^{-1}$?
What is the depression of freezing point, when mole fraction of non-electrolyte solute in aqueous solution is 0.01? ($ K_f $ of $ \text{H}_2\text{O} = 1.86 \, \text{K kg mol}^{-1} $)
Molar depression constant (\(K_f\)) is dependent on
6 g of a non-volatile solute (x) is dissolved in 100 g of water. The relative lowering of vapour pressure of resultant solution is 0.006. What is the molar mass (in g mol\textsuperscript{–1}) of x?
The molality of solution, when 18 g of glucose is added to 18 g of H2O is:
What is the van't Hoff factor of Ferric Sulphate (Assume 100% ionization)?
In a freezing point experiment, aqueous acetic acid solution gave $\Delta T_f$ (observed) = 0.02 K. Calculated $\Delta T_f$ for the same solution was found to be 0.018 K.
What is the van't Hoff factor of acetic acid?
At $T$ (K), 1 mol of benzene is mixed with 1 mol of toluene. The mole fraction of benzene and toluene in its vapour state is respectively
($P^0_{\text{Benzene}} = 160$ torr, $P^0_{\text{Toluene}} = 60$ torr)
Which among the following is diamagnetic?
Identify the correct IUPAC name of [CoCl$_2$(NO$_2$)(NH$_3$)$_3$]
Which one of the following is an incorrect statement pertaining to the properties of Coordination compounds?