Which of the following statements is correct?

Identify the correct statements
$\mathrm{I})$ Germanium exists only in traces.
$\mathrm{II})$ The order of electronegativity of $\mathrm{Si}, \mathrm{Ge}, \mathrm{Sn}$ is $\mathrm{Sn}>\mathrm{Ge}>\mathrm{Si}$
$\mathrm{III})$ All group $14$ elements are available in solid state

The \(\%\) of carbon in ' \(z\) ' is (At.wt. \(C=12 u, H=1 u, N=14 u, O=16 u\) )

In neutral or faintly alkaline medium, \(\mathrm{MnO}_4^{-}\)oxidizes \(\mathrm{I}^{-}\)to iodate. What is the volume (in \(\mathrm{L}\) ) of \(0.02 \mathrm{M} \mathrm{KMnO}_4\) required to completely convert \(1 \mathrm{~L}\) of \(0.5 \mathrm{M} \mathrm{KI}\) solution to iodate in neutral or faintly alkaline medium?

Consider the following reaction
\(\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \longrightarrow 2 \mathrm{NH}_3(g)\)
The rate of this reaction in terms of \(\mathrm{N}_2\) at \(T \mathrm{~K}\) is \(\frac{-d\left[\mathrm{~N}_2\right]}{d t}=0.02 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\). What is the value of \(-d\left[\mathrm{H}_2\right] / d t\) (in units of \(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\) ) at the same temperature.

In \(\mathrm{D}\) - glucose \((\mathrm{X})\) and \(\mathrm{D}\) - Fructose \((\mathrm{Y})\), which hydroxyl group participates in hemiacetal formation

Identify the correct set of molecules with different geometries and central atoms with different hybridisations.

Which of the following functions are odd?
I. \(f(x)=x\left(\frac{e^x-1}{e^x+1}\right)\)
II. \(f(x)=k^x+k^{-x}+\cos x\)
III. \(f(x)=\log \left(x+\sqrt{x^2+1}\right)\)

What are \(\mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\) respectively in the following reaction?
\(\begin{aligned}
& \mathrm{xFe}^{2+}(\mathrm{aq})+\mathrm{yH}^{+}(\mathrm{aq})+\mathrm{zCr}_2 \mathrm{O}_7^{2-}(\mathrm{aq}) \rightarrow \frac{\mathrm{y}}{2} \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \\
& +\mathrm{xFe}^{3+}(\mathrm{aq})+2 \mathrm{zCr}^{3+}(\mathrm{aq})
\end{aligned}\)

A metal tape is calibrated at $25°\mathrm{C}$. On a cold day when the temperature is $-15°\mathrm{C}$, the percentage error in the measurement of length is
(Coefficient of linear expansion of metal $=1\times {10}^{-5}{}^{\circ }\mathrm{C}^{-1}$)

If \(f: \mathbf{N} \times \mathbf{N} \rightarrow \mathbf{N}\) is defined by \(f((m, n))=2^{m-1}(2 n-1), \forall(m, n) \in \mathbf{N} \times \mathbf{N}\), then \(f\) is

Which of the following reactions are not feasible?
I. \(\mathrm{CH}_3 \mathrm{CH}=\mathrm{CH}_2 \frac{\mathrm{HCl}}{\left(\mathrm{C}_6 \mathrm{H}_5 \mathrm{CO}\right)_2 \mathrm{O}_2} \longrightarrow \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{Cl}\)
II. \(\mathrm{C}_6 \mathrm{H}_6+\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_2 \mathrm{Cl} \stackrel{\mathrm{AlCl}_3}{\longrightarrow} \mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}\left(\mathrm{CH}_3\right)_2\)
III. \(\mathrm{CH}_3 \mathrm{CHClCH}_2 \mathrm{Cl} \underset{\Delta}{\stackrel{\mathrm{KOH}}{\longrightarrow}} \mathrm{CH}_3 \mathrm{C} \equiv \stackrel{+}{\mathrm{CH}}\)
IV. \(\mathrm{CH}_3 \mathrm{CH}=\mathrm{CHCH}_3 \stackrel{\mathrm{KMnO}_4 / \mathrm{H}^{+}}{\longrightarrow} \mathrm{CH}_3 \mathrm{COOH}\)

Glucose does not react with which of the following.