Carbon and germanium belong to the 14 th group. The maximum coordination number of carbon is less than germanium, because of

\(\mathrm{CFCl}_3\) is responsible for the decomposition of ozone to oxygen. Which of the following reacts with ozone to form oxygen?

In which of the following reactions, the concentration of product is higher than the concentration of reactant at equilibrium? ( \(K=\) equilibrium constant \()\)

In which of the following reactions, hydrogen is one of the products?
i. \(\mathrm{NaBH}_4+\mathrm{I}_2 \longrightarrow\)
ii. \(\mathrm{BF}_3+\mathrm{NaH} \xrightarrow{450 \mathrm{~K}}\)
iii. \(\mathrm{BF}_3+\mathrm{LiAlH}_4 \longrightarrow\)
iv. \(\mathrm{B}_2 \mathrm{H}_6+\mathrm{NH}_3 \xrightarrow{\text { heat }}\)

Calculate the mass of $\mathrm{AgCl}$ precipitated, when $25\mathrm{ml}$ of $35\%$ solution of ${\mathrm{AgNO}}_3$ and $25\mathrm{ml}$ of $11.6\%$ solution of $\mathrm{NaCl}$ are mixed is

\(\mathrm{C}-\mathrm{Cl}\) bond lengths (in pm) in haloarene and haloalkane are respectively

Which of the following statements are not correct?
a. The energy of resonance hybrid structure is higher than that of the possible canonical structures of the molecule
b. When inductive effect and electromeric effect operate in opposite directions, electromeric effect predominates
c. When the \(\pi\) electrons of the multiple bond are transferred to that atom to which the attacking reagent does not get attached, it is knows as \(+E\) effect
d. The resonance structures with separation of opposite charges are more stable.

If \(y=\log \left(\frac{1+x}{1-x}\right)^{1 / 4}-\frac{1}{2} \tan ^{-1}(x)\), then \(\frac{d y}{d x}\) at \(x=\frac{1}{\sqrt{2}}\) equals

An ideal gas is taken around ABCA as shown in the \(\mathrm{P}-\mathrm{V}\) diagram. The work done during a cycle is

Match the entries from Column I and Column II and choose the correct order.

A player tosses two coins. He wins Rs. 1 if 1 head appears, Rs. 2 if 2 heads appear. But he loses Rs. 3 if no head appears. The mean of the prized money is

In the triangle with vertices at \(A(6,3), B(-6,3)\) and \(C(-6,-3)\), the median through \(A\) meets
\(B C\) at \(P\), the line \(A C\) meets the \(x\)-axis at \(Q\), while \(R\) and \(S\) respectively denote the orthocentre and centroid of the triangle. Then the correct matching of the coordinates of points in List-I to List-II is
\(\begin{array}{llll} & \text { List-I } & & \text { List-II } \\ \text { (i) } & P & \text { (A) } & (0,0) \\ \text { (ii) } & Q & \text { (B) } & (6,0) \\ \text { (iii) } & R & \text { (C) } & (-2,1) \\ \text { (iv) } & S & \text { (D) }(-6,0) \\ & & \text { (E) }(-6,-3) \\ & & \text { (F) }(-6,3)\end{array}\)
(i)
(ii)
(iii)
(iv)

What is \(Z\) in the following reactions?