For a full wave rectifier, if the input frequency is 50 Hz, the output frequency will be:

In an interference experiment, the two slits are 1 mm apart and the screen is placed 1 m away from the slits.
The width of a bright fringe for the light of wavelength 500 nm is

A cylindrical coil of radius \(r\), having \(n\) turns per unit length and carrying a current \(I\) has a magnetic field near its end equal to:

The total energy of the electron in a hydrogen atom is \( -1.51 \text{ eV} \).
A. Its Kinetic energy is \( -1.51 \text{ eV} \)
B. Its potential energy is \( -3.02 \text{ eV} \)
C. electron is in second excited state
D. The ground state energy of hydrogen atom is 13.6 eV
Choose the correct answer from the options given below:

The electric field intensity at the mid point of a dipole with charge \( \pm q \) and dipole length \( 2a \) is:

The density of a nucleus of mass number A is proportional to :

Match List-I with List-II

List-I	List-II
A. Reactance	(I) LCR Circuit
B. Inductance	(II) \(\frac{\rho l}{\pi r^2}\)
C. Capacitance	(III) \(\frac{\varepsilon_0 A}{d}\)
D. Impedance	(IV) \(\frac{\mu_0 N^2 A}{L}\)

Choose the correct answer from the options given below :

Which of the following compounds will give a pair of enantiomers upon nucleophilic substitution reaction with a hydroxide ion?

Amniocentesis is legally used to determine---
(A) Sex of the foetus
(B) Presence of genetic disorders
(C) Massive child immunization.
(D) Survivability of the fetus
Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions:
In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition site in the vector will generate several fragments, which will complicate the gene cloning. In order to link the alien DNA, the vector needs to have very few, preferably single, recognition sites for the commonly used restriction enzymes. Presence of more than one recognition sites within the vector will generate several fragments, which will complicate the gene cloning. The ligation of alien DNA is carried out at a restriction site present in one of the two antibiotic resistance genes. The recombinant plasmids will lose tetracycline resistance due to insertion of foreign DNA but can still be selected out from non-recombinant ones by plating the transformants on tetracycline containing medium.
The recombinants will grow in ampicillin containing medium but not on that containing tetracycline. But, non- recombinants will grow on the medium containing both the antibiotics. In this case, one antibiotic resistance gene helps in selecting the transformants, whereas the other antibiotic resistance gene gets 'inactivated due to insertion' of alien DNA, and helps in selection of recombinants. Origin of replication (ori) is a sequence from where replication starts and any piece of DNA when linked to this sequence can be made to replicate within the host cells. This sequence is also responsible for controlling the copy number of the linked DNA. So, if one wants to recover many copies of the target DNA it should be cloned in a vector whose origin support has high copy number.
In cloning vector pBR322, the BamH1 site codes for:

Match List-I with List-II

List-I (Hormones)	List-II (Role/functions)
(A) LH	(I) Causes stronger uterine contractions
(B) FSH	(II) Essential for maintenance of the endometrium during menstrual cycle
(C) Oxytocin	(III) Acts on Leydig cells and stimulates synthesis and secretion of androgens
(D) Progester one	(IV) Acts on Sertoli cells and stimulates secretion of some factors which help in the process of spermiogenesis

Choose the correct answer from the options given below:

An object is placed at a distance of 5 cm beyond focus on the principal axis of a convex lens. The image is formed at a distance of \( 3f \) on the other side of the lens. The value of \( f \) is :

In Faraday's experiment on Electromagnetic Induction, in which of the following situations, more deflection will be shown by the galvanometer?