Match List-I with List-II

List-I	List-II
(A) Magnifying power of a simple microscope	(I) \( \frac{L}{f_o} \times \frac{D}{f_e} \)
(B) Magnifying power of a compound microscope	(II) \( \frac{f_o}{f_e} \left(1 + \frac{f_e}{D}\right) \)
(C) Magnifying power of a telescope (normal adjustment)	(III) \( 1 + \frac{D}{f_e} \)
(D) Magnifying power of a telescope when final image is formed at least distance of distinct vision	(IV) \( \frac{f_o}{f_e} \)

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A coil when given supply of 20 V D.C. draws a current of 4 A. When the same coil is given supply of 20 V A.C. with 80 Hz, draw a current of 2 A. The self Inductance of the coil is :

Which of the following is NOT a property of charges?

The external diameter of a 5 m long hollow copper tube is 10 cm and the thickness of its wall is 5 mm. If the specific resistance of copper be \( 1.7 \times 10^{-8} \, \Omega\text{-m} \), then its resistance would be approximately

A bar magnet held perpendicular to a uniform magnetic field experiences a torque \( T_1 \). By what angle should it be rotated to change the experienced torque to \( 0.5T_1 \)?

Light of uniform intensity shines perpendicularly on a totally absorbing surface, fully illuminating the surface. If the area of the surface is decreased, what is the effect on radiation pressure ?

The electric potential for an electric dipole

Read the passage carefully and answer the questions
Carboxylic acids are the organic compounds which comprise of carboxyl functional group, -COOH. These are generally found in nature, some higher members are known as fatty acids as they occur in natural fats as esters of glycerol. They can be prepared from oxidation of alcohols and aldehydes, hydrolysis of nitriles and amides and Grignard reagents. They are stronger acids than simple phenols and alcohols. but weaker than mineral acids. Substituents affect the acidity of aliphatic and aromatic carboxylic acids. They undergo reactions involving cleavage of -OH and C-OH bond. Carboxylic acids having an alpha hydrogen get halogenated in the presence of red phosphorus to form alpha halo carboxylic acids. The reaction is known as Hell Volhard Zelinsky reaction. Besides these aromatic carboxylic acids undergo electrophilic substitution reactions. They are versatile and are employed in the manufacture of various useful compounds. For example, methanoic acid is used in rubber, textile, dyeing, leather and electroplating industries. Higher fatty acids are used in the manufacture of soaps and detergents. Esters of Benzoic acid are used in perfumery.
Benzoic acid in the presence of conc. \(HNO _3\) and conc. \(H _2 SO _4\) gives major product as:

Match the metal/ion given in List-I with properties given in List-II

List-l (Metal)	List-II (Properties)
(A) \(Sc ^{3+}\)	(I) \(3 d^3\)
(B) \(Cr ^{3+}\)	(II) Colorless
(C) \(Cu ^{2+}\)	(III) \(3 d^8\)
(D) \(Ni ^{2+}\)	(IV) \(3 d^9\)

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Match List - I with List - II.

List - I	List - II
(A) Opioids	(I) Erythroxylum coca
(B) Heroin	(II) Tobacco
(C) Cocaine	(III) Papaver somniferum
(D) Nicotine	(IV) Diacetyl morphine

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For a full wave rectifier, if the input frequency is 50 Hz, the output frequency will be:

Match List-l with List-II

List-l	List-II
(A) Bt Cotton	(I) Functional ADA CDNA
(B) Method of Cellular defense	(II) 'A' peptide
(C) Genetically engineered insulin	(III) RNAi
(D) Gene therapy	(IV) Insecticidal protein

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Observe the figure and answer the question (Q46-50):

Number of nitrogenous bases common between RNA and DNA is: