A 0.5 M aqueous \(\mathrm{H}_2 \mathrm{SO}_4\) solution is diluted from 2 litres to 20 litres. The concentration of the resulting solution will be

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.
Select the correct statement.

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

Match List-I with List-II

List-I	List-II
(A) \(S _{ N } 2\)	(I) Racemization
(B) Iodoform	(II) Ozone depletion
(C) \(S _{ N } 1\)	(III) Antiseptic
(D) Carbon tetrachloride	(IV) Inversion

Choose the correct answer from the options given below:

Answer the question on the basis of passage given below :
Adsorption is the phenomenon of attracting and retaining the molecules of a substance on the surface of a solid resulting into a higher concentration on the surface than in the bulk. The substance adsorbed is known as adsorbate and the substance on which adsorption takes place is called adsorbent. In physisorption adsorbate is held to the adsorbent by weak van der Waals forces and in chemisorption by strong chemical bond.
The process of absorption is accompanied by

The nitrogenous base not present in DNA is

Which of the following statements is correct for ortho and para nitrophenols?
(A) They can be separated by steam distillation
(B) o-Nitrophenol undergoes intramolecular hydrogen bonding
(C) p-Nitrophenol undergoes intermolecular hydrogen bonding
(D) p-Nitrophenol is less volatile
Choose the correct answer from the options given below :

For what distance is ray optics a good approximation when the aperture is 3 mm wide and the wavelength is 500 nm?

Which one of the following is an example of man-made ecosystem?

In humans, the fertilization takes place at -

\(\text{CH}_3-\text{CH}(\text{Br}) - \text{CH}_2 - \text{CH}_3 \xrightarrow{\text{alc. KOH}} \text{A} \xrightarrow{\text{Br}_2} \text{CH}_3-\text{CH}(\text{Br}) - \text{CH}(\text{Br}) - \text{CH}_3 \text{(B)}\)
\(\text{(B)} \xrightarrow{\text{alc. KOH}} \text{CH}_3-\text{C} = \text{C} – \text{CH}_3 \text{(C)}\)
\(\text{(C)} \xrightarrow{\text{Hg}^{2+}/\text{H}^+\atop \text{H}_2\text{O}} \text{D}\)
A and D respectively are :

In the presence of air, phenols are slowly oxidised to dark coloured mixture containing-

A bar magnet when suspended horizontally and perpendicular to earth's field experiences a torque of \( 3 \times 10^{-4} \text{ N m} \). The Magnetic moment of the magnet would be: (take horizontal component of Earth's magnetic field at the place \( 0.4 \times 10^{-4} \text{ T} \))