Which of the following correctly represents copper sulphate pentahydrate?

The number of nucleophiles in the following list is \(\mathrm{CH}_3 \mathrm{NH}_2, \mathrm{CH}_3 \mathrm{CHO}, \mathrm{C}_2 \mathrm{H}_4, \mathrm{CH}_3 \mathrm{SH}\)

The concentration of a \(100 \mathrm{~mL}\) solution containing \(X \mathrm{~g}\) of \(\mathrm{Na}_2 \mathrm{CO}_3\) (molecular wt. \(=106\) ) is \(Y M\). The values of \(X\) and \(Y\) are respectively.

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
\(\begin{aligned} & \mathrm{O}(g)+e^{-} \longrightarrow \mathrm{O}^{-}(g) ; \Delta H^{\ominus}=-141 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{O}^{-}(g)+e^{-} \longrightarrow \mathrm{O}^{2-}(g) ; \Delta H^{\ominus}=+760 \mathrm{~kJ} \mathrm{~mol}^{-1}\end{aligned}\)

The IUPAC name of the complex shown below is
\(\mathrm{K}_3\left[\mathrm{Co}(\mathrm{ox})_3\right]\)

Which of the following has \(\mathrm{S}-\mathrm{S}\) bond?

Identify the incorrect statements from the following.

I. Tin in +2 state acts as reducing agent while lead in +4 state acts as strong oxidising agent.
II. Silicon exists as both \(\left[\mathrm{SiF}_6\right]^{2-}\) and \(\left[\mathrm{SiCl}_6\right]^{2-}\) forms.
III. The hybridisation of carbon in fullerene is \(s p^3\).
IV. Among \(\mathrm{Ge}, \mathrm{Sn}\) and \(\mathrm{Pb}\) lowest melting point is for \(\mathrm{Sn}\).

If \(\frac{5 x^2+2}{x^3+x}=\frac{A_1}{x}+\frac{A_2 x+A_3}{x^2+1}\), then \(\left(A_1, A_2, A_3\right)=\)

A charged bead is sliding freely through a string held vertically under tension. An electric field is applied parallel to the string so that the bead stays at rest at the middle of the string. If the electric field is switched off momentarily and switched on again, then

Which of the following options is correct for the object having a straight-line motion represented by the following graph?

If \(\frac{x}{\cos \alpha}=\frac{y}{\cos \left(\frac{2 \pi}{3}-\alpha\right)}=\frac{z}{\cos \left(\frac{2 \pi}{3}+\alpha\right)}\), then the value of \((x+y+z)\) is equal to

A body of mass 1 kg is suspended from a spring of force constant \(600 \mathrm{~N} \mathrm{~m}^{-1}\). Another body of mass 0.5 kg moving vertically upwards hits the suspended body with a velocity of \(3 \mathrm{~m} \mathrm{~s}^{-1}\) and embedded in it. The amplitude of motion is

For what values of \(m \in N\), the following divisibility \(x+y / x^m+y^m\) holds?