When $\mathrm{C}\mathrm{u}\mathrm{S}{\mathrm{O}}_4$ solution in water is treated with concentrated $\mathrm{H}\mathrm{C}\mathrm{l}$ it turns

Calculate the molar mass of metal having density \(9.3 \mathrm{~g} \mathrm{~cm}^{-3}\) that forms simple cubic unit cell. \(\left[\mathrm{a}^3 \cdot \mathrm{N}_{\mathrm{A}}=22.6 \mathrm{~cm}^3 \mathrm{~mol}^{-1}\right]\)

What is IUPAC name of the following compound?

What are different possible oxidation states exhibited by scandium?

What is the formal charge on carbon atom in \(\mathrm{CO}_3^{2-}\) ion?

Identify the product ' \(\mathrm{B}\) ' in following reaction.
\(2 \mathrm{CH}_3 \mathrm{CHO} \stackrel{\text { dil.NaOH }}{\longrightarrow} \mathrm{A} \underset{-\mathrm{H}_2 \mathrm{O}}{\stackrel{\Delta}{\longrightarrow}} \mathrm{B}\)

1 mole of an ideal gas expands isothermally and reversibly by decreasing pressure form \(210 \mathrm{kPa}\) to \(105 \mathrm{kPa}\) at \(300 \mathrm{~K}\). What is the work done? \(\left(\mathrm{R}=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)

An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current I ampere and the radius of the circular loop is r metre. Then the magnetic induction B at the centre of the circular part is:

Which one of the following sugar does NOT have same empirical formula as that of carbohydrate?

Let \(\quad \overline{\mathrm{a}}=\alpha \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}}, \quad \overline{\mathrm{b}}=3 \hat{\mathrm{i}}-\beta \hat{\mathrm{j}}+4 \hat{\mathrm{k}} \quad\) and \(\overline{\mathrm{c}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}\), where \(\alpha, \beta \in \mathbb{R}\), be three vectors. If the projection at \(\overline{\mathrm{a}}\) on \(\overline{\mathrm{c}}\) is \(\frac{10}{3}\) and \(\overline{\mathrm{b}} \times \overline{\mathrm{c}}=-6 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}\), then the value of \(\alpha^2+\beta^2-\alpha \beta\) is equal to

The percentage errors in measurements of mass and speed of a body are \(2 \%\) and
\(3 \%\) respectively. What is the percentage error in kinetic energy of the body?

Let \(\mathrm{f}(x)=(x+1)^2-1, x \geqslant-1\), then the set \(\left\{x / \mathrm{f}(x)=\mathrm{f}^{-1}(x)\right\}\) is

Heat energy is incident on the surface of a material at the rate of $1000 \mathrm{J} {\min }^{-1}$. If the coefficient of absorption is $0.8$ and the coefficient of reflection is $0.1$, then the amount of heat energy transmitted through the material in $5 \mathrm{minutes}$ is