In a series combination of capacitors connected across a battery

Match List I with List II

LIST I	LIST II
A. \(^{210}_{84}Po \rightarrow ^{206}_{82}Pb + ...\)	I. Electron
B. \({ }_{15}^{32} P \rightarrow{ }_{16}^{32} S+\ldots\)	II. Neutron
C. \({ }_7^{14} N \rightarrow{ }_6^{14} C +\ldots\)	III. Alpha particle
D. \({ }_1^2 H +{ }_1^3 H \rightarrow{ }_2^4 He +\ldots\)	IV. Positron

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A point source heating device of 1000 W with 10% efficiency is 7m from the observational location. Find the peak value of electric field produced by the radiation at that location.

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 ?

A current of 15 A flows in a wire of cross-sectional area \( 5 \text{ mm}^2 \) with a drift velocity of \( 3 \times 10^{-3} \text{ m/s} \). The electron density in the wire will be :

For an astronomical telescope with 10 m focal length objective and 10 cm eyepiece, tube length and magnification are:

Read the following statements carefully:
(A) The average power in an inductor over one complete cycle is zero.
(B) Self-inductance plays the role of inertia.
(C) Mutual inductance of a pair of coils depends on their separation as well as their relative orientation.
(D) The capacitive reactance increases with increase in frequency of applied a. c.
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A long straight wire of a circular cross-section of radius 'a' is carrying steady current I. The current I is uniformly distributed across this cross-section. What will be the magnetic field in the region \( r < a \) and \( r > a \)?

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Carboxylic acids are the earliest organic compounds isolated from nature. These are also known as organic acids but are weaker acids as compared to mineral acids. However, they are more acidic than alcohols and phenols because of greater resonance stabilization of the parent acid and its conjugate base. The acidic strength is determined by the \(K _a\), which is called the acidity constant. The greater the value of \(K _a\), the greater the tendency of the acid to ionize and hence the stronger the acid. The acidic strength of the saturated aliphatic carboxylic acid depends upon the inductive effect and its position with respect to - COOH groups. Electron -donating substituents tend to decrease whereas electron -withdrawing substituents tend to increase the acidic strength. The acidic strength of the aromatic carboxylic acid, on the other hand depends upon both the inductive effect and the resonance effect of the substituents.
p-Nitrobenzoic acid is a stronger acid than benzoic acid because of

Match List-I with List-II

List-I (Structures)	List-II (Characteristics)
(A) Heterochromatin	(I) A set of positively charged basic proteins
(B) Nucleosomes	(II) Densely packed and inactive genetic material
(C) Histones	(III) Transcriptionally active genetic material
(D) Euchromatin	(IV) DNA is wrapped around the histone octamer to formthis structure

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Which of the following is more reliable ?

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Optically active polyhydroxy aldehydes or ketones or molecules which provide such units on hydrolysis are called carbohydrates. They can be broadly classified as monosaccharides, disaccharides and polysaccharides depending on their behavior towards hydrolysis. They are also classified as reducing or non-reducing sugars. Another class of biomolecules is proteins which are polymers of twenty different amino acids linked by peptide bonds. Amino acids can be classified as acidic, basic or neutral depending on the relative number of amino and carboxyl groups in their molecule. The essential amino acids cannot be synthesized by our body and hence must be provided through diet. Nucleic acids are the polymers of nucleotides which in turn consist of a base, pentose sugar and phosphate. There are two types of nucleic acids namely, DNA and RNA which differ in the composition of sugar and a base
Four bases present in RNA molecule are

Given a matrix A of order \(3 \times 3\). If \(|A|=3\) then the value of \(|A(\operatorname{adj} A)|\) is: