A coil has an inductance of \( L = 0.02 \text{ H} \) and the current is increasing at the rate of \( \frac{dI}{dt} = 200 \text{ A/s} \). The emf induced in it, \( \epsilon \), is:

The electric potential at a point P due to a point charge of \( 9 \, \mu C \) located 10 cm away from point P is

The element having the highest binding energy per nucleon among the following is :

An electron is accelerated through a potential difference of \( V = 36 \text{ V} \). The de-Broglie wavelength associated with it will be

Match List-I with List-II

List-I	List-II
(A) Light	(I) 1 mm to \(10^{-3} nm\)
(B) Infra-red	(II) 700 nm to 400 nm
(C) X-rays	(III) 400 nm to 1 nm
(D) UV rays	(IV) 1 mm to 700 nm

Choose the correct answer from the options given below :

Which of the following statement is correct regarding a p-n junction diode.

The de Broglie wavelength associated with a proton moving with a speed of 1 m/s will be :
[Plank's Constant \( = 6.63 \times 10^{-34} \text{ J s}, M_p = 1.6 \times 10^{-27} \text{ kg} \)]

An electron beam passes through a region of magnetic field of \( 2 \times 10^{-3} \text{ T} \) and an electric field of \( 3.2 \times 10^4 \text{ V m}^{-1} \), both acting perpendicular to each other. If the path of the electron remains undeviated calculate the speed of electron : [Mass of electron \( = 9.1 \times 10^{-31} \text{ kg} \)]

The amines which are soluble in water
(A) Methanamine
(B) Ethanamine
(C) Propanamine
(D) Benzylamine
Choose the correct answer from the options given below:

Read the passage carefully and answer the given questions.
Recombinant DNA Technology
Asexual reproduction preserves the genetic information, while sexual reproduction permits variation. Traditional hybridization procedures used in plants and animals breeding very often lead to inclusion and multiplication of undesirable genes along with the desired genes. The techniques of genetic engineering, which include creation of recombinant DNA, use of gene cloning and gene transfer, overcome this limitation and allow us to isolate and introduce only one or a set of desirable genes without introducing genes into the target organism.
Which one of the following options is correct for working of restriction enzymes?

In which region of the fallopian tube, fertilization of sperm and ovum takes place?

Which of the following is always upright in an ecosystem?

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.
For a weak acid like acetic acid, the correct expression for the ionisation constant at concentration \(c\) is