Identify correct statement from the following:
A. Propanal and propanone are functional isomers.
B. Ethoxyethane and methoxypropane are metamers.
C. But-2-ene shows optical isomerism.
D. But-1-ene and but-2-ene are functional isomers.
E. Pentane and 2, 2-dimethyl propane are chain isomers.
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The increasing order of the boiling points of the major products \(A , B\) and \(C\) of the following reactions will be :

Consider the following half cell reaction
\(\mathrm{Cr}_2 \mathrm{O}_7^{2-}(\mathrm{aq})+6 \mathrm{e}^{-}+14 \mathrm{H}^{+}(\mathrm{aq})\) \(\rightarrow 2 \mathrm{Cr}^{3+}(\mathrm{aq})+7 \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)
The reaction was conducted with the ratio of \(\frac{\left[\mathrm{Cr}^{3+}\right]^2}{\left[\mathrm{Cr}_2 \mathrm{O}_7^{2-}\right]}=10^{-6}\). The pH value at which the EMF of the half cell will become zero is ________. (nearest integer value)
[Given : standard half cell reduction potential
\(\left.\mathrm{E}_{\mathrm{Cr}_2 \mathrm{O}_7^{2-}, \mathrm{H}^{+} / \mathrm{Cr}^{3+}}^{\mathrm{o}}=1.33 \mathrm{~V}, \frac{2.303 \mathrm{RT}}{\mathrm{~F}}=0.059 \mathrm{~V}\right]\)

A polysaccharide ' \(X\) ' on boiling with dil \(H _{2} SO _{4}\) at \(393 \,K\) under \(2-3 \,atm\) pressure yields ' \(Y\) '. ' \(Y\) ' on treatment with bromine water gives gluconic acid. ' \(X\) ' contains \(\beta\)-glycosidic linkages only. Compound ' \(X\) ' is ..... .

The structure of \(PCl _{5}\) in the solid state is

Consider the above chemical reaction. The total number of stereoisomers possible for product \('\mathrm{P}^{\prime}\) is \(.....\)

The products formed in the following reaction sequence are _______.

If \(y = {e^{nx}}\), then \(\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)\left( {\frac{{{d^2}x}}{{d{y^2}}}} \right)\) is equal to 

Given,
(A) \(n =5, m_1=-1\)
(B) \(n =3,1=2, m_1=-1, m_{ s }=+\frac{1}{2}\)
The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are :

Let \(z = 1 + ai\) be a complex number, \(a > 0\), such that \(z^3\) is areal number. Then the sum \(1 + z + z^2 + .... + z^{11}\) is equal to

The energy band gap of semiconducting material to produce violet (wavelength \(=4000 \,A^{\circ}\) ) LED is \(.......eV\). (Round off to the nearest integer).

\(96 \cos \frac{\pi}{33} \cos \frac{2 \pi}{33} \cos \frac{4 \pi}{33} \cos \frac{8 \pi}{33} \cos \frac{16 \pi}{33}\) is equal to\(......\).

Match List \(I\) With List \(II\)

List \(I\) (compounds)	List \(II\) (Value of \(Pk_a\))
\(A\). ethanol	\(I\). \(10.0\)
\(B\). phenol	\(II\). \(15.9\)
\(C\). \(m\)-nitrophenol	\(III\). \(7.1\)
\(D\). \(p\)-nitrophenol	\(IV\). \(8.3\)

Choose the correct answer from the options given below: