The primary winding of a transformer has 500 turns and its secondary has 5000 turns. The primary is connected to an a.c. supply of 20 V, 50 Hz. The secondary will have an output of :

The refractive index of the material of a prism is \( \sqrt{2} \) and angle of prism is \( 30^{\circ} \). One of the two refracting surface of the prism is made a mirror inwards, by silver coating at outer surface. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface) if its angle of incidence on the prism is:

Arrange the following nuclei in the increasing order of their binding energy per nucleon: \( ^4\text{He}, ^6_3\text{Li}, ^{56}_{26}\text{Fe}, ^{238}_{92}\text{U} \)

The ratio of the wavelengths associated with electrons accelerated with the potentials of 64 V and 81 V, respectively is

A bar magnet of magnetic moment 3 J/T lies aligned with the directions of a uniform magnetic field of 0.2 T. The amount of work, required so as to align its magnetic moment opposite to the field direction is :

What will be the expression for the energy of a photon of wavelength \(\lambda\) is:

The electric field in a copper wire of cross-sectional area \( 2.0 \, \text{mm}^2 \) carrying a current of 1 A is:
(Given: Resistivity of copper \( \rho = 2 \times 10^{-8} \, \Omega\text{.m} \))

Transmission of HIV infection occurs by:
(A) By transfusion of contaminated blood
(B) By sharing infected needles
(C) Sexual contact with HIV infected person
(D) From an infected mother to her child through the placenta
Choose the correct answer from the options given below:

Which one of the following diagnostic techniques is based on the principle of antigen-antibody interaction?

Which one of the given assisted reproductive technologies (ART) involves transfer of fertilized egg into the fallopian tube?

Read the passage carefully and answer the Questions:
Amines are classified as primary \(\left(1^{\circ}\right)\), secondary \(\left(2^{\circ}\right)\) and tertiary \(\left(3^{\circ}\right)\) depending upon the number of hydrogen atoms replaced by alkyl or aryl groups in ammonia molecules. Aliphatic amines are a stronger bases due to \(+I\) effect of an alkyl groups. Intermolecular hydrogen bonding in primary and secondary amines affects the boiling points of amines. The intermolecular association is more in primary amines than in secondary amines as there are more number of hydrogen atoms available for hydrogen bond formation. Nitro compounds are reduced to amines by passing hydrogen gas in the presence of finely divided nickel, palladium or platinum and also by reduction with metals in an acidic medium. Gabriel synthesis is used for the preparation of primary amines. Primary amines react with nitrous acid to give unstable diazonium-salts which can be used to synthesize a variety of compounds.

The reaction is an example of:

Which of the following is correct for equipotential surfaces ?
(A) Electric field lines are always perpendicular to equipotential surfaces.
(B) Equipotential surfaces are always spherical in shape.
(C) Work done in moving a charge on equipotential surface is always negative.
(D) Two equipotential surfaces never intersect each other.
(E) Workdone in moving a charge on equipotential surface is always zero.

The magnetic force can act on a charge, which is