The forbidden energy gaps in conductors, semiconductors and insulators are \( (E_g)_c, (E_g)_s \) and \( (E_g)_I \) respectively. What is the relation among them ?

A parallel plate air capacitor is charged, and then the battery is disconnected. Now on inserting a dielectric between the plates of the capacitor, which of the following change:
1. potential difference between the plates
2. charge on the plates
3. electric field between the plates
4. energy stored in the capacitor
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Two point charges placed a distance d apart in vacuum exert a force of magnitude F on each other. One of the two charges is doubled. To keep the magnitude of force same the separation between the charges should be changed to

A capacitor of capacitance C is first charged by a battery of V volts. It is disconnected from the battery and is filled with a dielectric of dielectric constant K. The ratio of energy stored in the two cases, respectively will be

The repetitive use of which of the following logic gate/s separately can be used to prepare an AND gate ?
(A) OR gate
(B) NOT gate
(C) NOR gate
(D) NAND gate
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In LCR series circuit with resistance R, inductive reactance \( X_L \) and capacitive reactance \( X_C \), the maximum current '\( I_0 \)' at resonance is given as :

Identify the incorrect statements from the following.
(A) A charged particle of charge e is moving through a magnetic field, work will be done by the magnetic field on the charge.
(B) A conductor with free electrons is placed in a magnetic field. No current is flowing through the conductor. No magnetic force acts on the conductor.
(C) A charged particle is moving perpendicular to the magnetic field. The magnetic force does not change the speed of the particle but changes its direction.
(D) A charged particle is moving in a straight direction without any change of direction. It shows that no magnetic field is there.
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Isopropylbromide reacts with silver nitrite to form major product as

Match List - I with List - II.

List - I	List - II
(A) Pollination between two flowers on different plants	(I) Syngamy
(B) Fusion of male gamete with egg cell	(II) Cleistogamous
(C) Pollination between two flowers of the same plant	(III) Xenogamy
(D) Closed flowers	(IV) Geitonogamy

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Match List - I with List - II.

List - I	List - II
(A) Mutualism	(I) Abingdon tortoise in Galapagos island and goat
(B) Commensalism	(II) Crow and Cuckoo
(C) Brood Parasitism	(III) Sea anemone and Clown fish
(D) Competition	(IV) Lichen

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Read the passage carefully and answer the given questions.
DNA Fingerprinting
Polymorphism in DNA sequence is the basis of genetic mapping of the human genome as well as of DNA fingerprinting. DNA fingerprinting involves identification of differences in some specific regions in the DNA sequence called repetitive DNA. It works on the principle of polymorphisms in DNA sequences. The repetitive DNA are separated from bulk genomic DNA. The bulk DNA forms a major peak and the other small peaks are referred to as satellite DNA. These repetitive/satellite DNA sequences show a high degree of polymorphisms and form the basis of DNA fingerprinting.
DNA fingerprinting is meant for:

The demand function for a certain product is represented by the equation: p = 20 + 5x - \(3 x^2\), where \(x\) is the number of units demanded and p is the price per unit (in Rs.), then the marginal revenue when 2 units are sold, is:

Consider \(f(x)=\sin (3 x)+4, \forall x \in \mathbb{R}\)
(A) Maximum value of f(x) is 5
(B) Maximum value of f(x) is 3
(C) Maximum value of f(x) is attained at \(x=\frac{\pi}{3}\)
(D) Minimum value of f(x) is attained at x = 0
Choose the correct answer from the options given below: