In a n type silicon, which of the following statement is true ?

In a Young's double slit experiment, the fringe width is \(\beta\). If the entire apparatus is immersed in a liquid of refractive index \(\mu\), the new fringe width is

A parallel beam of monochromatic light of wavelength \( 460 \text{ nm} \) passes through a long slit of width \( 0.1 \text{ mm} \). What is the angular divergence in which most of the light is diffracted ?

A plane electromagnetic wave of frequency 30 MHz travels in free space along the \( x \)-direction.
At a particular point in space and time, \( \vec{E} = 6.3\hat{j} \text{ V/m} \).
The magnetic field \( \vec{B} \) at this point would be:

Ionization potential of a hydrogen atom is 13.6 V. Hydrogen atom in the ground state is excited by monochromatic radiation of photon energy 12.75 eV. The number of spectral lines emitted by hydrogen atom will be

Which is quantised in Bohr's atomic model ?

In an experiment, a student measures the terminal potential difference (\( V \)) of a cell (emf \( E \) and internal resistance \( r \)) as a function of current \( I \) and plots a graph with \( V \) on the y-axis and \( I \) on the x-axis.
The slope of the graph between \( V \) and \( I \) is:

Match List I with List II

LIST I	LIST II
A. Multimolecular colloids	I. Nitro cellulose
B. Macromolecular colloids	II. Sulphur molecule
C. Associated colloids	III. Nylon
D. Colloidion	IV. Soaps

Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Propionibacterium sharmanii is used for the production of-

The angle between the pair of straight lines given by \(\vec{r}=(3 \hat{i}+2 \hat{j}-4 \hat{k})+\lambda(\hat{i}+2 \hat{j}+2 \hat{k})\) and \(\vec{r}=5 \hat{i}-2 \hat{j}+\mu(3 \hat{i}+2 \hat{j}+6 \hat{k})\) is :

Read the following passage carefully.
Restriction enzyme
Restriction enzymes cut the strand of DNA a little away from the center of the palindrome sites, but between the same two bases on the opposite strands. This leaves single stranded portions at the ends. There are overhanging stretches called sticky ends on each strand. These are named so because they form hydrogen bonds with their complementary cut counterparts. This stickiness of the ends facilitates the action of the enzyme DNA ligase. The word palindromes refer to group of letters that forms the same words when read both forward and backward. Restriction endonucleases are used in genetic engineering as molecular scissors.
Which one of the following enzyme helps to join DNA?

Which of the following statements is incorrect with respect to the plot of molar conductivity (\(\Lambda_m\)) versus square root of concentration (\(c^{1/2}\)) for electrolytes in solution?

The magnetic susceptibility of the material of a rod is 499. Permeability of vacuum is \( 4\pi \times 10^{-7} \text{ H/m} \). The absolute permeability of the material of the rod is: