Match List-I with List-II

List-I (Vitamins)	List-II (Diseases)
(A) Vitamin K	(I) Pernicious anaemia
(B) Vitamin A	(II) Osteomalacia
(C) Vitamin B12	(III) Increase blood clotting time
(D) Vitamin D	(IV) Night blindness

Choose the correct answer from the options given below:

In the following reaction, the product A is

Match List-I with List-II

List-I	List-II
(A) Tetracarbonylnickel(0)	\((I)\) \(\left[ CoCl _2(e n)_2\right]^{+}\)
(B) Tetraammineaquachloridocobalt (III)	chloride \((I I) K _2\left[ Zn ( OH )_4\right]\)
(C) Potassium tetrahydroxidozincate(II)	\((III)\) \(\left[ Co \left( NH _3\right)_4\left( H _2 O \right) Cl \right] Cl _2\)
(D) Dichloridobis(ethane-1,2-diamine)cobalt(III)	\((IV)\) \(\left[ Ni ( CO )_4\right]\)

Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
The resistance ( \(R\) ) of an object is given by the expression \(R=\rho \frac{l}{A}\)
The inverse of \(R\) is called conductance and the inverse of \(\rho\) is called conductivity or specific conductance represented by \(\kappa\).
The conductivity depends upon the nature of the material (insulator, semiconductor or conductor) and the temperature of the substance.
Similarly, the conductance due to the ions present in the solution. (ionic conductance) depends upon the nature of the electrolyte, size of ions, the nature of the solvent and the temperature.
Molar conductivity ( \(\Lambda _{ m }\) ) of a solution at a given concentration is the conductance of volume \(V\) containing one mole of electrolyte kept between two electrodes of area \(A\) and unit distance apart.
It is given by the expression.\(A_m=\kappa V .\)
Molar conductivity increases with decrease in concentration and when concentration approaches sero, it is called limiting molar conductivity.
The decrease is linear for a strong electrolyte. However, for a weak electrolyte the change is gradual at higher concentrations and sharp near zero concentration.
Using limiting molar conductivity values of strong electrolytes we can calculate the limiting molar conductivity of weak electrolytes using Kohlrausch law of independent migration of ions.
From molar conductivity and limiting molar conductivity we can determine the degree of dissociation \(\left(\frac{\Lambda_m}{\Lambda_m^0}\right)\) and the ionisation constant of a weak acid.
The limiting molar conductivity values for \(HCl , NaCl\) and \(CH _3 COONa\) are \(425.9,126.4\) and \(91.0 S cm ^2 mol^{-1}\), respectively.
Calculate the limiting molar conductivity value for acetic acid.

Which one of the following is a low spin complex?

Match List I with List II

LIST I (Order)	LIST II (Units of k)
A. Zero order reactions	I. \(\backslash s^{-1}\)
B. 1st order	II. \(m \operatorname{mol}^{-2} L^2 s^{-1}\)
C. 2nd order	III. \(\operatorname{mol} L^{-1} s^{-1}\)
D. 3rd order	IV. \(\backslash\) mol \(^{-1} L s^{-1}\)

Choose the correct answer from the options given below:

Identify A, B, and C in the following reaction:

A \(\beta\)-particle is moving perpendicular to the uniform electric field created by a potential difference of \( 6 \times 10^3 \text{ V} \) across parallel metal plates separated by a distance of 6 cm. What is the acceleration of the beta particle between the plates? (Mass of electron = \( 9.1 \times 10^{-31} \text{ kg} \))

A square matrix \(B=\left[b_{i j}\right]_{n \times n}\) where
\(b_{i j}=0\) when \(i \neq j\)
\(b_{i j}=k\) when \(i=j\) for some constant \(k\) is called:

Read the passage and answer the question given below.
When a host is exposed to antigens, which may be in the form of living or dead microbes or other proteins, antibodies are produced in the host body. This type of immunity is called active immunity. Active immunity is slow and takes time to give its full effective response. Injecting the microbes deliberately during immunisation or infectious organisms gaining access into body during natural infection induce active immunity. When antibodies are directly given to protect the body against foreign agents, it is called passive immunity.
Production of antibodies against antigens in the body is:

Use of bio-resources without proper authorization from the concerned countries is termed as:

Match List-I with List-II

List-l (Species)	List-II (Population interaction terms)
(A) Monarch butterfly	(I) Brood parasitism
(B) Cuckoo bird	(II) Commensalism
(C) Cuscuta	(III) Camouflage
(D) Sea anemone and Clown fish	(IV) Parasitism

Choose the correct answer from the options given below:

The domain of \(y=\cos ^{-1}\left(x^2-4\right)\) is