If 5 ampers of current is passed for 193 seconds through a solution containing Copper salt, \(0.32 \mathrm{~g}\) of copper is deposited. What is the oxidation state of the \(\mathrm{Cu}\) in the salt?

In Kjeldahl's method, organic \(\mathrm{N}\) is estimated as

Dipole moment of \(\mathrm{HCl}=1.03 \mathrm{D}, \mathrm{HI}=0.38 \mathrm{D}\). Bond length of \(\mathrm{HCl}=1.3 Ã…\) and \(\mathrm{HI}=1.6 Ã…\). The ratio of fraction of electric charge, \(\delta\), existing on each atom in \(\mathrm{HCl}\) and \(\mathrm{HI}\) is

Arrange the following in the increasing order of their magnetic moments
I. \(\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{3-}\)
II. \(\left[\mathrm{Mn} \mathrm{Cl}_6\right]^{3-}\)
III. \(\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}\)
IV. \(\left[\mathrm{FeF}_6\right]^{3-}\)

Which among the following is a possible product during cross aldol condensation between propanal (as electrophile) and butanal (as nucleophile)?

Which of the following is an extensive property?

The formation of oxide ion \(\mathrm{O}^{2-}\) from oxygen atom requires an exothermic reaction, followed by an endothermic step as shown below. The process of formation of \(\mathrm{O}^{2-}\) in gas phase is unfavorable \(\left(\Delta H^{\ominus}=+\right.\) ve \()\), even though it has stable configuration of the nearest noble gas neon. This is because
\(\begin{aligned} & \mathrm{O}(g)+e^{-} \longrightarrow \mathrm{O}^{-}(g) ; \Delta H^{\ominus}=-141 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{O}^{-}(g)+e^{-} \longrightarrow \mathrm{O}^{2-}(g) ; \Delta H^{\ominus}=+760 \mathrm{~kJ} \mathrm{~mol}^{-1}\end{aligned}\)

Consider a force \(\mathrm{F}=\mathrm{Kx}^3\), which acts on a particle at rest. The work done by the force for displacement of \(2 \mathrm{~m}\) is \(\left(\mathrm{K}=2 \mathrm{Nm}^{-3}\right)\)

At \(98 \mathrm{~K}\), the conductivity of \(\mathrm{KCl}\) solutions of molarity \(0.1,0.01\) and \(1.0 \mathrm{M}\) are recorded as \(\mathrm{X}, \mathrm{Y}\) and \(\mathrm{Z}, \mathrm{Scm}^{-1}\) respectively. The correct relation between \(\mathrm{X}, \mathrm{Y}\) and \(\mathrm{Z}\) is

If \(f(2)=4\) and \(f^{\prime}(2)=1\), then
\[
\lim _{x \rightarrow 2} \frac{x f(2)-2 f(x)}{x-2}
\]
is equal to

If two angles of \(\triangle A B C\) are \(45^{\circ}\) and \(60^{\circ}\), then the ratio of the smallest and the greatest sides are

A body starts from rest and moves with uniform acceleration. If the distance travelled by it in the first \(2 \mathrm{~s}\) is \(x_1\) and in the next \(2 \mathrm{~s}\) is \(x_2\), then \(x_1\) and \(x_2\) are related as

Energy of a stationary electron in the hydrogen atom is $E=-\frac{13.6}{n^2}\mathrm{eV}$ then the energies required to excite the electron in hydrogen atom to (a) its second excited state and (b) ionized state respectively