Match List-l with List-II

List-l (Complex)	List-II (Property)
(A) Fuel Cell	(I) Anode: \(Zn (s) \rightarrow Zn ^{2+}+2 e^{-}\) Cathode: \(MnO _2+ NH _4^{+}+e^{-} \rightarrow MnO ( OH )+ NH _3\)
(B) A secondary cell	(II) Cathode: \(O _2(g)+2 H _2 O (l)+4 e^{-} \rightarrow 4 OH ^{-}(a q)\) Anode: \(2 H _2(g)+4 OH ^{-}(a q) \rightarrow 4 H _2 O (l)+4 e^{-}\)
(C) Mercury cells	(III) \(Pb (s)+ PbO _2(s)+2 H _2 SO _4(a q) \rightarrow 2 PbSO _4(s)+2 H _2 O (l)\)
(D) Leclanche cell (Simplified)	\((I V) Zn ( Hg )+ HgO (s) \rightarrow ZnO (s)+ Hg (l)\)

Choose the correct answer from the options given below :

Give the reason for low concentration of oxygen in the blood and tissues of people living at high altitude

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 \(\Lambda_m=\kappa V\).
Molar conductivity increases with decrease in concentration and when concentration approaches zero, 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 ionization constant of a weak acid.
SI units of conductance and conductivity, respectively, are ___________

Which of the following methyl halide will have the highest value of dipole moment?

Which aldehyde is used to preserve biological specimens?

Which of the following properties are related to the complex \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) ?
(A) Paramagnetic
(B) Number of unpaired electrons are five
(C) \(d ^2 sp ^3\) hybridisation
(D) \(H _2 O\) is a strong field ligand
Choose the correct answer from the options given below :

Correct IUPAC name of \([\text{Co(NH}_3\text{)}_5\text{Cl}]\text{Cl}_2\) is:

Match List I with List II

List I	List ll
(A) Down's syndrome	(I) 44 + XX/XY
(B) Klinefelter's syndrome	(II) 44 + XO
(C) Turner's syndrome	(III) 44 + XXY
(D) Normal human	(IV) 45 + XX/XY

Choose the correct answer from the options given below:

In a parallel plate capacitor, each plate has an area of \(7 \times 10^{-3} \text{ m}^2\) and the distance between the plates is 2 mm. The space between the plates of the capacitor is filled with mica having dielectric constant 6. If the capacitor is connected to 120 V supply, the charge on each plate of the capacitor will be (Given: permittivity of the vacuum \(\epsilon_0 = 8.85 \times 10^{-12}\) SI unit)

Match List-I with List-II

Differential equation	Degree
(A) \(\frac{d^2 y}{d x^2}+\sqrt{\frac{d y}{d x}}-y=0\)	(I) 6
(B) \(\sqrt{\frac{d^3 y}{d x^3}}-\sqrt[12]{\frac{d^2 y}{d x^2}}=0\)	(II) not defined
(C) \(\left(\frac{d^2 y}{d x^2}\right)^2+\frac{d y}{d x}+e^{\frac{d y}{d x}}=x^2\)	(III) 3
(D) \(\sqrt[3]{\frac{d y}{d x}}-\frac{d^2 y}{d x^2}=e^x\)	(IV) 2

Choose the correct answer from the options given below :

Pipe A can fill a tank three times faster than pipe B.
If both pipes A and B are running together, they can fill the tank in 12 minutes.
Then the time taken by pipe B alone to fill the tank is :

Displacement current (\( i_{d} \)) = \( \epsilon_{0} \frac{d\phi_{E}}{dt} \)
Where symbols have their usual meanings.
Which of the following options gives correct equation for displacement current ?

The maximum value of the objective function \(Z=2 x+y\) of an LPP, subject to the constraints \(x \leq 6, y \leq 2, x-y \leq 0\), \(x \geq 0, y \geq 0\), is: