In Young's double slit experiment, the width of the fringes obtained with light of wavelength 6000 \( \text{\AA} \) is 3.0 mm. If the entire apparatus is immersed in a liquid medium of refractive index 1.50, then the fringe width would be

The expression of the magnetic energy stored in a solenoid in terms of magnetic field B, cross-sectional area A and length l of the solenoid, is:

Calculate the Ratio of Range of Transmitting antenna of height 64 m to the receiving antenna of height 16 m :

A hollow metal sphere of radius 10 cm is uniformly charged such that the electric potential at a distance of 20 cm from the center is 10 V. The electric potential at a distance of 5 cm from the center of the sphere will be

The binding energy per nucleon is 1.1 MeV for \({ }_1^2 H\) and 7.0 MeV for \({ }_2^4 He\). The energy released in the given fusion reaction will be:
\({ }_1^2 H+{ }_1^2 H \rightarrow{ }_2^4 He\)

Match List-I with List-II

List - I (Observation)	List - II (Light related phenomenon)
(A) Blue colour of sky	(I) Dispersion
(B) Seven colours obtained from prism	(II) Refraction
(C) Bending of pencil dipped in water	(III) Scattering
(D) Alternate bright and dark bands of equal thickness	(IV) Interference

Choose the correct answer from the options given below:

The power factor of an RL circuit is \( \frac{1}{2} \). If the frequency of a.c. is doubled, the power factor will be :

Read the following paragraph carefully and answer the given questions.
In the year 1963 the two enzymes responsible for restricting the growth of bacteriophage in E. coli were isolated. The first restriction endonuclease - Hind II, whose functioning depended on a specific DNA nucleotide sequence was characterized five years later. It was found that Hind II always cut DNA molecules at a particular point by recognizing a specific sequence of six base pairs. This specific base sequence is known as the recognition sequence for Hind II. Besides Hind II, today we know more than 900 restriction enzymes that have been isolated from over 230 strains of bacteria, each of which recognize different recognition sequences.
DNA fragments can be separated by a technique known as:

The absolute maximum value of the function \(f(x) = \sin x + \cos x, x \in [0, \pi]\) is:

Which one of the following is most reactive towards substitution nucleophilic unimolecular (\(\text{S}_1\)) reactions?

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:

The value of \(\int e^x\left[f(x)+f^{\prime}(x)\right] d x\) is :

The type of pollination which brings genetically different types of pollen grains to the stigma is -