"Answer the question on basis of passage given below:
\(G = \frac{\kappa A}{l}\) =k(both \(A\) and \(l\) are unity in their appropriate units in m or cm)
Molar conductivity of a solution at a given concentration is the conductance of the volume \(V\) of solution containing one mole of electrolyte kept between two electrodes with area of cross section \(A\) and distance of unit length (\(l\)). Therefore,
\(\Lambda_m = \frac{\kappa A}{l}\)
Since \(l = 1\) and \(A = V\) (volume containing 1 mole of electrolyte),
\(\Lambda_m = \kappa V\)
Calculate \(\Lambda_m\) for aluminium sulphate. When \(\Lambda_m\) for aluminium chloride, sulphuric acid and hydrochloric acid are 236.2, 459.8 and 121.4 S cm\(^2\) mol\(^{-1}\) respectively:"

Match List-I with List-II

List-I (Complex ion)	List-II (Hybridisation)
(A) \(\left[ CoF _6\right]^{3-}\)	(I) \(d^2 s p^3\)
(B) \(\left[ Co ( CN )_4\right]^{2-}\)	(II) \(s p^3 d^2\)
(C) \(\left[ FeCl _4\right]^{-}\)	(III) \(s p^3\)
(D)\(\left[ Co \left( C _2 O _4\right)_3\right]^{3-}\)	(IV) \(d s p^2\)

Choose the correct answer from the options given below:

The conductivity of 0.001 mol \(\text{L}^{-1}\) acetic acid is \(5.01 \times 10^{-5} \text{ S cm}^{-1}\).
Calculate its dissociation constant if \(\Lambda_m^{\circ}\) for acetic acid is
390.5 \(\text{S cm}^2 \text{mol}^{-1}\).

A reaction is 2nd order w.r.t A and 1st order w.r.t B. When the concentrations of both A and B are doubled the rate of reaction will become:

Identify the incorrect statement
A. Bakelite and urea-formaldehyde resins are elastomers
B. Polyamides like nylon 6, nylon 6, 6 are the examples of fibers.
C. Polystyrene, polyvinylchloride and polythene are thermoplastic polymers.
D. Thermoplastic polymers have intermolecular force between elastomers and fibers.
Choose the most appropriate answer from the options given below:

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which of the following is a tertiary amine?

The correct statement about 4 f-series elements is:

In LCR series circuit with resistance R, inductive reactance \( X_L \) and capacitive reactance \( X_C \), the maximum current '\( I_0 \)' at resonance is given as :

A parallel beam of monochromatic light of wavelength 900 nm passes through a long slit of width 0.4 mm. The angular divergence in which most of the light is diffracted, is:

Identify the incorrect statement about the \(H _2- O _2\) fuel cell from the following:

Consider the line \(\frac{x-2}{2}=\frac{2 y-5}{-3}, z=-1\).
Then which of the following is/are true?
(A) It has Direction ratios \((2,-3,-1)\)
(B) It has Direction cosines \(\left(\frac{4}{5},-\frac{3}{5},-\frac{1}{5}\right)\)
(C) It has Direction ratios \(\left(2,-\frac{3}{2}, 0\right)\)
(D) It has Direction cosines \(\left(\frac{4}{5},-\frac{3}{5}, 0\right)\)
Choose the correct answer from the options given below :

The value of \(\int \frac{\cos x d x}{(1+\sin x)(2+\sin x)}\) is :

Which of the following will have the smallest radius of first orbit (n = 1)