The magnetic nature of elements depends on the presence of unpaired electrons.
Identify the configuration of a transition element which shows the highest magnetic moment:

Zeolite can be used to soften hard water when :

The values of van't Hoff factors for \(\text{CaCl}_2\), \(\text{Na}_2\text{SO}_4\) and \(\text{KCl}\) respectively are:

Match List - I with List - II.

List - I	List - II
(A) Urease	(I) Maltose
(B) Maltase	(II) Glucose and fructose
(C) Invertase	(III) \(NH _3\) and \(CO _2\)
(D) Diastase	(IV) Glucose

Choose the correct answer from the options given below :

Match List-I (Name) with List-II (Structure)

List-I (Name)	List-II (Structure)
(A) Cinnamaldehyde	(I)
(B) Vanillin	(II)
(C) Salicylaldehyde	(III)
(D) Benzophenone	(IV)

Choose the correct answer from the options given below:

Decomposition of \(H _2 O _2\) follows a first order reaction.
In 50 min , the concentration of \(H _2 O _2\) decreases from 0.5 to 0.125 M.
When the concentration of \(H _2 O _2\) reaches 0.05 M.
the rate of formation of \(O _2\) will be (Given \(\log 2=0.3010\) ) :

Read the passage carefully and answer the Questions
Molar conductivity \(\left(\Lambda_m\right)\) of a solution at a given concentration (c) is the conductance of volume, V of solution, containing one mole of electrolyte kept between the two electrodes with area of cross-section A and at a distance of unit length. It increases with the decrease in concentration and when the concentration approaches zero, the molar conductivity is called limiting molar conductivity \(\left(\Lambda_m^0\right)\). For a strong electrolyte, \(\Lambda_m\) increases linearly with dilution and is given by \(\Lambda_m=\Lambda_m^0-A c^{1 / 2}\). The value of the constant A for a given solvent depends on the type of electrolyte along with temperature. According to Kohlrausch law, the value of \(\left(\Lambda_m^0\right)\) for an electrolyte is A\(\Lambda_m^0=\nu_{+} \lambda_{+}^0+\nu_{-} \lambda_{-}^0\), where \(\nu_{+}\)and \(\nu_{-}\) are the number of cations and anions, respectively, per molecule of the electrolyte and \(\lambda_{+}^0\) and \(\lambda_{-}^0\) are limiting molar conductivities of cation and anion, respectively. Kohlrausch law
finds many applications, like determining the solubility of a sparingly soluble salt, determining the degree of dissociation\(\left(\Lambda_m / \Lambda_m^0\right)\), and the dissociation constant of a weak electrolyte.
If the equivalent conductivity of 1 M Phthalic acid is \(12.8 S cm ^2 eq ^{-1}\) and the limiting equivalent conductivities of the
hydrogen and Phthalate ions are 42 and \(288.42 S cm ^2 eq ^{-1}\), respectively, the degree of dissociation of Phthalic acid will be :

Correct increasing order of wavelength of absorption in visible region for complex is
A. \(\left[ Ni ( CN )_6\right]^{4-}\)
B. \(\left[ Ni \left( H _2 O \right)_8\right]^{2+}\)
C. \(\left[ Ni ( CO )_0\right]^{2+}\)
D. \(\left[ Ni \left( NH _3\right)_6\right]^{2+}\)
Choose the correct answer from the options given below:

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.
Arrange the following steps of Aldol condensation in the correct order of their occurance.
A. Abstraction of proton
B. Protonation
C. Formation of Enolate
D. Nucleophilic Addition
E. Elimination
Choose the correct answer from the options given below:

An electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(3 \times 10^5 \text{ N/C}\). It experiences a torque equal to \(6 \text{ N m}\). If the dipole length is 2 cm, the value of charge will be

The rate of change of the area of a circle with respect to its radius r, when r = 3 cm is :

Calculated value of magnetic moment (BM) of an aqueous solution of \(M n ^{ 2 + }\) is ___________

Two thin lenses are in contact and the focal length of the combination is 60 cm. If the focal length of one lens is 20 cm, the focal length of the other would be :