When \(1.5\) g of a non-volatile solute is dissolved in \(30\) g of a solvent, the boiling point of the solvent is raised by \(2\ K\). Calculate the molar mass of the solute, given that \(K_b\) for the solvent is \(1.85\ K\ kg\ mol^{-1}\).

Second most abundant element in alloy misch metal is :

Read the passage carefully and answer
When a metal is placed in a solution of its ions, the metal can lose electron and can go in the solution as ion or the metal ion in the solution can take electron from the electrode and get deposited as metal. Thus, the electrode acquires either positive or negative charge with respect to the solution leading to the development of a potential difference between the metal electrode and the solution. This potential difference is called the electrode potential of the metal. The electrode potential of a metal is a measure of relative tendency to undergo oxidation (loss of electron) or reduction (gain of electron). When the concentration of the ions in the solution is unity, the electrode potential is called standard electrode potential. The magni of potential depends upon the nature of electrode, concentration of ions in solution and the temperature. In a galvanic cell, the electrode at which oxidation occurs is known as anodic half-cell and the electrode at which reduction occurs is known as cathodic half cell. The emf of the cell in terms of standard reduction potential is given by \(E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode. }}^{\circ}\).The standard free energy change of the redox reaction taking place in the cell is related to \(E_{\text {cell }}^{\circ}\) by \(\Delta G^{\circ}=-n F E^{\circ}\). A redox reaction would occur spontaneously if the free energy change is negative. The equilibrium constant of the reaction is related to the standard free energy change by \(\Delta G^{\circ}=-R T \ln K\).
The standard Oxidation potential \(E^0\) for the half cell reactions are
\(Zn \rightarrow Zn ^{2+}+2 e^{-}: E^0=+0.76 V\)
\(Fe \rightarrow Fe ^{2+}+2 e^{-}: E^0=+0.41 V\)
The emf of cell \(Fe ^{2+}+ Zn \rightarrow Zn ^{2+}+ Fe\) is

The mass percentage of a component of a solution is defined as:

Match the elements given in List-I with electronic configuration given in List-II

List - I (Element)	List - II (Electronic configuration)
(A) Cerium	(I) \([ Xe ] 4 f^{f 12} 6 s^2\)
(B) Erbium	(II) \([ Rn ] 5 f^7 6 d^1 7 s^2\)
(C) Uranium	(III) \([ Xe ] 4 f^1 5 d^1 6 s^2\)
(D) Curium	(IV) \([ Rn ] 5 f^3 6 d^1 7 s^2\)

Choose the correct answer from the options given below:

Which of the following statements are not correct?
A. Phenol is used to prepare analgesic drugs.
B. Solubility of phenol in water is more than that of chlorobenzene.
C. Phenol is neutralised by sodium carbonate.
D. Boiling point of o- nitrophenol is lower than that of p-nitrophenol.
Choose the most appropriate answer from the options given below:

The product of the following reaction is :
Reactant: 2,2-Dimethylcyclohexanol
Reagents: \(H ^{ + } /\) heat

Match List I with List II

LIST I	LIST II
A. Papaver somniferum	I. Charas
B. Nicotiana tabacum	II. Heroin
C. Erythroxylum coca	III. Tobacco
D. Cannabis sativa	IV. Cocaine

Choose the correct answer from the options given below:

Arrange the following ligands in the increasing order of their field strength:
(A) en
(B) edta \({ }^{4-}\)
(C) \(S ^{2-}\)
(D) \(OH ^{-}\)
Choose the correct answer from the options given below:

A full wave rectifier circuit is operating from 50 Hz mains frequency. In the output, the fundamental frequency in the ripple would be:

Match List I with List II

LIST I	LIST II
A. Heroin	I. Atropa belladona
B. Marijuana	II. Erythroxylum coca
C. Cocaine	III. Cannabis sativa
D. Hallucinogenic properties	IV. Papaver somniferum

Choose the correct answer from the options given below:

The total cost \(C(x)\) associated with the production of \(x\) units of an item is given by \( C(x)=0.001 x^3+0.06 x^2+20 x+500\)
The marginal cost when 10 units are produced is:

The maximum value of \(Z=3 x+4 y\) subject to constraint \(x+y \leq 6, x, y \geq 0\) is: