Match List - I with List - II.

List - I	List - II
(A) \( \oint \vec{B} \cdot d\vec{A} = 0 \)	(I) Gauss's Law of electricity
(B) \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)	(II) Gauss's Law of magnetism
(C) \( \oint \vec{B} \cdot dl = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt} \)	(III) Faraday's Law
(D) \( \oint \vec{E} \cdot dl = -\frac{d\phi_B}{dt} \)	(IV) Ampere-Maxwell Law

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For which of the following, a capacitor acts as an infinite resistance component in the circuit?

Transverse wave nature of light is shown by which phenomenon?

A charged particle is moving in a cyclotron. What is the effect on time for one revolution of this charged particle, when its radius of the orbit is doubled?

In a step-down transformer, 22 kV is converted into 220 V. The number of turns in the primary coil is 60000. The number of turns in the secondary coil will be

In the formation of a p-n junction diode, arrange the following processes in sequence.
(A) Diffusion of charge carriers
(B) Drift of charge carriers
(C) Doping
(D) Generation of electric field at the junction
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The depletion layer has large electrical resistance because:

\(\int\left(e^{x \log a}+e^{a \log x}\right) d x\) is equal to (where \(\left.a>1\right)\)

If \(A=\left[\begin{array}{ccc}0 & 0 & \sqrt{3} \\ 0 & \sqrt{3} & 0 \\ \sqrt{3} & 0 & 0\end{array}\right]\), then \(|\operatorname{adj} A|\) is equal to:

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.
Statins are produced by:

The area (in sq. units) of the bigger portion of region enclosed by the curves \(4 x^2+9 y^2=36\) and \(2 x+3 y=6\) is

If \(K\) is such that the area of triangle \(A B C\) is 3 , where \(A(1,3), B(0,0)\) and \(C(K, 0)\), then the value(s) of \(K\) is/are:

Match List-I with List-II

List-I	List-II
(A) NBA sin\(\omega\)t	(I) Blv
(B) Joule's loss of heat	(II) Mutual Inductance
(C) Motional emf	(III) \(\frac{B^2l^2v^2}{R}\)
(D) \(\mu_r\) \(\mu_0 n_1 n_2 \pi r^2 l\)	(IV) A.C. Generator

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