Choose the correct statements from the following:
A. Induced emf opposes any change in the current in a circuit
B. Induced emf in a closed coil can be increased by increasing the number of turns in the coil
C. Varying current in a coil can not induce emf in a neighbouring coil.
D. An LCR circuit has zero impedance at resonant frequency
E. Average power supplied to an inductor over one complete cycle is zero
Choose the correct answer from the options given below:

Match List-l with List-II

LIST-I	LIST-II
A. Planck's constant	(I) \(\left[M L^2 T^{-2}\right]\)
B. Work function	(II) \([L]\)
C. Stopping potential	(III) \(\left[M L^2 T^{-3} A^{-1}\right]\)
D. de Broglie wavelength	(IV) \(\left[M L^2 T^{-1}\right]\)

Choose the correct answer from the options given below :

According to Rayleigh's law, the intensity of scattered light varies with wavelength \( \lambda \) as

A wire has a resistance of \( 2.1 \, \Omega \) at \( 25^\circ \text{C} \) and a resistance of \( 2.8 \, \Omega \) at \( 100^\circ \text{C} \). The temperature coefficient of the resistance is :

The instrument preferred for measuring the emf of a cell more accurately is :

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

In an intrinsic semiconductor at room temperature ;

Arrange the following transition metal ions in the increasing order of unpaired electrons.
(A) \(Cu ^{2+}\)
(B) \(Cr ^{2+}\)
(C) \(Ni ^{2+}\)
(D) \(Sc ^{3+}\)
Choose the correct answer from the options given below:

\(\int \tan ^{-1} \sqrt{x} d x\) equals to : (Here \(C\) is an arbitrary constant)

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.
Statins, used as blood-cholesterol lowering agents are produced by -

Which of the following statements is not true with reference to a potentiometer ?

Two identical wires X and Y, each of length L carry the same current I. Wire X is bent to form a square of side a and wire Y is bent into a circle of radius R. If \( B_x \) and \( B_y \) are the values of the magnetic field at the centres of the square and the circle respectively, the ratio \( B_x : B_y \) is

Which of the following hormone is also known as flight or fight hormone?