Choose the correct relation between drift velocity (\( v_d \)) and current density (\( J \)) from the following:

Arrange the following in the increasing order of their energy band gap
(A) Si
(B) Ge
(C) C
(D) Sn
Choose the correct answer from the options given below:

The ground state energy of hydrogen atom is -13.6 eV. The kinetic and potential energies of the electron in this state will be

A 50 W, 100 V bulb is to be used on a 200 V, 50 Hz a.c. supply. Calculate the inductance of inductor used so that the bulb glows with normal brightness.

When 126 V is applied across a wire of 10 m length and 0.30 mm radius, the current density is \( 1.4 \times 10^4 \text{ A/m}^2 \). What is the resistivity of the wire?

A charged particle moving with a certain velocity enters a uniform electric field perpendicular to its direction. In this context, which of the following statements are correct?
(A) Force acting on the particle is constant
(B) Acceleration of the particle is constant
(C) Velocity of the particle is constant
(D) Displacement of the particle follows a parabolic path
Choose the correct answer from the options given below:

Which of the following is true ?
(A) The equilibrium of a charged particle under the action of coulomb force alone can never be stable.
(B) A hollow metal sphere placed on an insulating stand is charged positively. The electric potential inside is same as on surface
(C) A free electron and a free proton are placed in a uniform field, both will experience same magnitude of the force
(D) A free electron and a free proton are placed in a uniform field, both will experience same acceleration
Choose the correct answer from the options given below :

If A is a square matrix of order 3 and |A| = 5, then | adj A| is:

If the difference between mean and variance of a Binomial distribution is 1 and the difference of their squares is 5 , then the probability of success is

The general solution of the differential equation \(x d y+e^{-y} d x=x e^{x-y} d x\) is (given C is constant of integration)

Two charges \( 5 \mu C \) and \( - 2 \mu C \) (with no external field) are placed at \( (-9 \text{ cm}, 0, 0) \) and \( (9 \text{ cm}, 0, 0) \) respectively. The work required to separate the two charges infinitely away from each other is :

'GEAC' stands for -

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?