The correct statements about \(Cr ^{2+}\) and \(Mn ^{3+}\) are : (atomic number of \(Cr =24\) and \(Mn =25\) )
(A) \(Cr ^{2+}\) is a reducing agent
(B) \(Mn ^{3+}\) is an oxidising agent
(C) Both \(Cr ^{2+}\) and \(Mn ^{3+}\) exhibit \(d^4\) electronic configuration
(D) When \(Cr ^{2+}\) is used as reducing agent chromium ion attains \(d^5\) electronic configuration Choose the \(\backslash\) textbf\{correct\} answer from the options given below :

Read the passage carefully and answer the questions
Replacement of a hydrogen atom in a hydrocarbon by an alkoxy or carboxyl group yields a class of compounds known as ethers. Ethers are classified as symmetrical or unsymmetrical on the basis of groups attached to the oxygen atoms. Diethyl ether, a symmetrical ether, has been widely used as an inhalation anesthetic. Ethers can be prepared by acid catalyzed intermolecular dehydration of alcohols and Williamson's synthesis. Acid catalyzed dehydration of alcohols is not generally preferred as it gives a mixture of elimination and substitution products. In Williamson's synthesis, an alkyl halide is allowed to react with sodium alkoxide. Ethers containing substituted Alkyl groups may also be prepared by this method. The C-O bond in ether is weakly polar and is cleaved under drastic conditions with excess of hydrogen halides. In electrophilic substitution, the alkoxy group deactivates the aromatic ring and directs the incoming group to ortho and para positions.
When ethanol is dehydrated in the presence of H₂SO₄, at 443 K and 413 K respectively, the products formed are

\(\mathrm{CuSO}_4\) is colorless but \(\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}\) is blue in color. Which of the following statements is incorrect about the color of \(\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}\)?

The increasing order of the melting points of following transition metals is
(A) Fe
(B) Mn
(C) Cr
(D) V
Choose the correct answer from the options given below:

Arrange the following compounds in increasing order of their acidity:
(A) Phenol
(B) Ethanol
(C) Benzoic acid
(D) p-Nitrobenzoic acid
Choose the correct answer from the options given below:

Match List - I with List - II

List - I (Laws/properties)	List - II (Statements)
(A) Colligative properties	(I) for a solution of volatile liquids, the partial vapour pressure of each component of the solution is directly proportional to its mole fraction present in the solution.
(B) Henry's law	(II) the total pressure over the solution phase in the container will be the sum of the partial pressures of all the components of the solution.
(C) Raoult's law	(III) depends on the number of solute particles, irrespective of their nature.
(D) Dalton's law of partial pressures	(IV) at a constant temperature, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas present above the surface of a liquid or solution.

Choose the correct answer from the options given below:

What is the common name of the given compound?

In aldehydes, the carbonyl group is bonded to a carbon and hydrogen, while in ketones it is bonded to two carbon atoms. The carbonyl compounds in which carbonyl group is bonded to oxygen are known as carboxylic acid and their derivatives.
The hybridisation of the \(C\) in the carbonyl group is:

Standing crop is defined as:

The maximum value of \(4 \sin ^2 x+3 \cos ^2 x\) is:

The corner points of the bounded feasible region for an LPP are (0, 20), (3, 12), (6,8), (0, 15).
The objective function is \(Z=a x+\beta y\), where \(a, \beta>0\).
If the maximum of Z occurs at the corner points (3, 12) and (6,8), then the relationship between \(a\) and \(\beta\) is:

Which of the following is more reliable ?

Which is not the male sex accessory gland?