\(\dot{ Cl }+ CH _{4} \rightarrow A + B\) \(A\) and \(B\) in the above atmospheric reaction step are.

In the following skew conformation of ethane, \(H'-C-C-H"\) dihedral angle is......\(^o\)

The compound (X) on
(i) on heating in the presence of anhydrous \(AlCl_3\) and HCl gas gives \(2,4\)-dimethyl pentane
(ii) aromatization gives toluene and
(iii) cyclisation gives methyl cyclohexane
The correct name of compound (X) is:

Which of the following statement is true with respect to \(\mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3\) and \(\mathrm{CH}_4\) ?
A. The central atoms of all the molecules are \(\mathrm{sp}^3\) hybridized.
B. The \(\mathrm{H}-\mathrm{O}-\mathrm{H}, \mathrm{H}-\mathrm{N}-\mathrm{H}\) and \(\mathrm{H}-\mathrm{C}-\mathrm{H}\) angles in the above molecules are \(104.5^{\circ}, 107.5^{\circ}\) and \(109.5^{\circ}\), respectively.
C. The increasing order of dipole moment is \(\mathrm{CH}_4 \lt \mathrm{NH}_3 \lt \mathrm{H}_2 \mathrm{O}\).
D. Both \(\mathrm{H}_2 \mathrm{O}\) and \(\mathrm{NH}_3\) are Lewis acids and \(\mathrm{CH}_4\) is a Lewis base.
E. A solution of \(\mathrm{NH}_3\) in \(\mathrm{H}_2 \mathrm{O}\) is basic. In this solution \(\mathrm{NH}_3\) and \(\mathrm{H}_2 \mathrm{O}\) act as Lowry-Bronsted acid and base respectively.
Choose the correct answer from the options given below:

Total number of tripeptides possible by mixing of valine and proline is \(............\).

An electrochemical cell, consist of the following two redox couples, \(M^{x+}(aq)/M(s)\) \([E_{red}^\ominus=+0.15\text{ V}]\) and \(Fe^{3+}(aq)/Fe(s)\) \([E_{red}^\ominus=-0.036\text{ V}]\). The cell EMF \((E_{cell})\) is recorded to be \(0.2057\) V. If the reaction quotient of the electrochemical reaction is found to be \(10^{-2}\), then the value of \(x\) is ______. (Nearest integer)
[Given: M is a p-block metal and \(\dfrac{2.303RT}{F}=0.059\) V]

The de Broglie wavelength of an electron in the \(4^{th}\) Bohr orbit is

Let a plane \(P\) pass through the point \((3,7,-7)\) and contain the line, \(\frac{x-2}{-3}=\frac{y-3}{2}=\frac{z+2}{1} .\) If distance of the plane \(P\) from the origin is \(d\), then \(d^{2}\) is equal to \(.....\)

When \(2-\) butyne is treated with \(H_2/\) Lindlar's catalyst, compound \(X\) is produced as the major product and when treated with \(Na/liq.\) \(NH_3\) it produces \(Y\) as the major product. Which of the following statements is correct?

Which one of the following reactions will not result in the formation of carbon-carbon bond?

If \(0<\theta, \phi<\frac{\pi}{2}, x =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta, y =\sum_{ n =0}^{\infty} \sin ^{2 n } \phi\) and \(z =\sum_{ n =0}^{\infty} \cos ^{2 n } \theta \cdot \sin ^{2 n } \phi\) then

\(\mathrm{CaCO}_3(\mathrm{~s})+2 \mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{CaCl}_2(\mathrm{aq})+\mathrm{CO}_2(\mathrm{~g}) \mathrm{H}_2 \mathrm{O}(\mathrm{l})\)
Consider the above reaction, what mass of \(\mathrm{CaCl}_2\) will be formed if 250 mL of 0.76 M HCl reacts with 1000 g of \(\mathrm{CaCO}_3\) ?
(Given : Molar mass of \(\mathrm{Ca}, \mathrm{C}, \mathrm{O}, \mathrm{H}\) and Cl are 40, \(12,16,1\) and \(35.5 \mathrm{~g} \mathrm{~mol}^{-1}\), respectively)

The incorrect statement regarding ethyne is _______.