Match List-I with List-II

LIST - I (Statement)	LIST - II (Energy band diagram)
(A) An intrinsic semiconductor at \(T =0 K\)	(I)
(B) An intrinsic semiconductor at \(T >0 K\) with thermally generated electron-hole pairs.	(II)
(C) Energy bands of n-type semiconductor at \(T >0 K\)	(III)
(D) Energy bands of p -type semiconductor at \(T >0 K\)	(IV)

Choose the correct answer from the options given below:

Which of the following statements are correct?
(A) The electrostatic repulsive force between the protons can be greater than the nuclear force to bind the nucleons together inside a nucleus.
(B) The repulsive electrostatic force between protons in smaller nuclei is much smaller than the nuclear force between nucleons inside a nucleus.
(C) The gravitational force between nucleons is much smaller than the nuclear force between the nucleons inside a nucleus.
(D) The binding energy per nucleon between nucleons is almost constant because the nuclear force is a long range force.
Choose the correct answer from the options given below:

The ratio of the electric field (E) and the magnetic field (B) associated with a plane electromagnetic wave is equal to

In an unbiased p-n junction, holes diffuse from the p-region to n-region because

In the circuit shown in the figure, the ac source gives a voltage of V = 10 cos (500t). The ammeter reading will be :

The magnitude of the magnetic field due to a short bar magnet having a magnetic moment of 0.2 \( \text{Am}^2 \), at a distance of 50 cm from the centre of the magnet on its axial line will be:

In which of the following transitions will the wavelength of light emitted be minimum?

An alternating emf \( \varepsilon = 220 \sin(50\pi t) \) is applied to an inductive circuit having self-inductance \( L = \sqrt{2} \pi^{-1} \text{ H} \). What will be the reading of an a.c. ammeter connected in the circuit?

The plane \(x(1+2 \lambda)+y(2+\lambda)+z(3-\lambda)=0\) passes through the intersection of :

Match List I and List II.

List-I	List-II
A. Oxidation state of Mn in MnO2 is	I. +2
B. Most stable oxidation state of Mn is	II. +3
C. Most stable oxidation state of Mn in MnO4- is	III. +4
D. Characteristic oxidation state of lanthanoids	IV. +7

A box contains 3 white and 2 red balls. If we draw one ball and without replacing the first ball, the probability of drawing red ball in the second draw is:

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 micro-organisms in a sample of water and thus, indirectly, BOD is a measure of the organic matter present in the water.
BOD is a measure of-

The resistance of a galvanometer is G = 30 \( \Omega \). It gives full scale deflection for \( I_g = 2 \text{ mA} \). It is to be converted into an ammeter to measure current I = 0.3 A. The value of the shunt required is approximately