You are given three magnetic needles \( N_F, N_P \) and \( N_D \) made up of ferromagnetic, paramagnetic and diamagnetic materials respectively. If a magnet is brought close to each of the needle one by one, then the magnet will :

Which of the following statements are correct?
(A) According to wave theory, energy carried by a wave depends on the amplitude of the wave, not on the speed of wave propagation
(B) For a given frequency, intensity of light in the photon picture is determined by the number of photons crossing a unit area
(C) At a large distance from the source, a small portion of the spherical wave can be approximated by a plane wave
(D) the reflected and refracted light both have different frequencies than the incident frequency
Choose the correct answer from the options given below:

'n' identical small drops are charged to V volt each. They coalesce to form a bigger drop. The potential of the bigger drop will be:

Which of the following gives the correct expression for potential gradient in terms of the resistivity ( \(\rho\) ) of the wire?

A printed page is kept pressed by a glass cube (\(\mu = 1.5\)) of 5 cm edge. By what amount will the printed letters appear to be shifted when viewed from the top?

Some of the commonly known ideas regarding magnetism are:
(A) It is possible to make magnets out of iron and its alloys
(B) It is possible to isolate the north or south pole of a magnet
(C) A bar magnet suspended freely, points in the north-south direction
(D) The earth behaves as a magnet with the magnetic field pointing approximately from the geographic south to the north
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The intensity ratio of the two interfering beams of light is \( \beta \). The value of \( \left[ \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \right] \) is

The half life of a radioactive substance is 10 days. How many days will it take to disintegrate 3/4 of its initial value ?

Match List-I with List-II

List-I (Electric Field)	List-II (Expression)
(A) Field due to an infinitely long straight uniformly charged wire	(I) \(\sigma\left(2 \varepsilon_0\right)^{-1}\)
(B) Field due to a uniformly charged thin spherical shell (inside the shell)	(II)\(q\left(4 \pi \varepsilon_0 r^2\right)^{-1}\)
(C) Field due to a uniformly charged infinite plane sheet	(III) \(\lambda\left(2 \pi \varepsilon_0 r\right)^{-1}\)
(D) Field due to a uniformly charged thin spherical shell (outside the shell)	(IV) zero

Choose the correct answer from the options given below:

A transistor is operated in common emitter configuration at \(V_c = 3V\) such that a change in the base current from \(50 \mu A\) to \(250 \mu A\) produces a change in the collector current from 5 mA to 20 mA. The current gain is :

Ambidentate ligand among the following is
A. NCS
B. \(\text{C}_2\text{O}_4^{2-}\)
C. SCN
D. \(\text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2\)
E. \(\text{NO}_2\)
Choose the correct answer from the options given below :

Two coils of self inductances \( L_1 \) and \( L_2 \) are kept close to each other so that the effective flux in one is completely linked with the other. What is the mutual inductance M between them ?

Read the following passage carefully and answer the given questions. During anaerobic sludge digestion, bacteria produce a mixture of gases such as methane, hydrogen sulphide and carbon dioxide. These gases form biogas and can be used as source of energy as it is inflammable. The bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. You must have noticed that bottled fruit juices bought from the market are clearer as compared to those made at home. This is because the bottled juices are clarified by the use of pectinases and proteases. 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. The BOD test measures the rate of uptake of oxygen by microorganisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
Cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by -