There are two metallic spheres A and B having radii equal to R and 2R respectively. A charge Q is distributed on these two spheres such that the two spheres have equal surface charge densities. The ratio of charge on A to charge on B is :

\( E_{Ge}, E_{Si}, \) and \( E_{C} \) denote the ionization energy values for Ge, Si and C, respectively. The values correctly arranged in increasing order are:

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 \( 0.5T_1 \)?

Four equal charges \(Q\) are placed at the four corners of a square of side 'a'. Work done in removing a charge \(-Q\) from its centre to infinity is :

Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively, illuminate a metal of work function 0.5 eV. The ratio of the maximum KE of the emitted electrons will be :

If light of wavelength 412.5 nm is incident on each of the metals given below, which ones will show photoelectric emission ?

Metal	Work Function (eV)
Na	1.92
K	2.15
Ca	3.20
Mo	4.17

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In a double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then, in the interference pattern:

Match List-I with List-I

LIST – I (Compounds)	LIST – II (Uses)
(A) Dichloromethane	(I) Freon R 22
(B) Trichloromethane	(II) Synthesis of chlorofluorocarbons
(C) Triiodomethane	(III) Propellant
(D) Tetrachloromethane	(IV) Antiseptic

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Read the following passage carefully and answer the given questions.
Restriction endonuclease on finding its specific recognition sequence, bind to the DNA and cut each of the two strands of the double helix at specific points in their sugar -phosphate backbones. Each restriction endonuclease recognises a specific palindromic nucleotide sequences in the DNA. Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA along with other macromolecules such as RNA, proteins, polysaccharides and also lipids. This can be achieved by treating the bacterial cells/plant or animal tissue with enzymes such as lysozyme (bacteria), cellulase (plant cells), chitinase (fungus). Now a days the most commonly used matrix is agarose which is a natural polymer extracted from sea weeds. The DNA fragments separate (resolve) according to their size through sieving effect provided by the agarose gel. The first restriction endonuclease-Hind II, whose functioning depended on a specific DNA nucleotide sequence was isolated and characterised five years later. It was found that Hind II always cut DNA molecules at a particular point by recognising a specific sequence of six base pairs. In addition to 'ori', the vector requires a selectable marker, which helps in identifying and eliminating non-transformants and selectively permitting the growth of the transformants. Transformation is a procedure through which a piece of DNA is introduced in a host bacterium. Normally, the genes encoding resistance to antibiotics such as ampicillin, chloramphenicol, tetracycline or kanamycin, etc., are considered useful selectable markers for E. coli.
Transformation is a procedure through which:

Carbylamine reaction is used as a test for
(A) aromatic primary amine
(B) aliphatic primary amine
(C) aliphatic secondary amine
(D) substituted aromatic secondary amine
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Answer the question on the basis of passage given below :
Nitrogen differs from rest of the members of group 15 due to its small size, high electronegativity, high ionization enthalpy and non-availability of d orbitals. Nitrogen has unique ability to form pa - pa multiple bonds with itself and with other elements having small size and high electronegativity. Heavier elements of this group do not form pa - pr bonds as their atomic orbitals are so large and diffuse that they cannot have effective overlapping.
Linear structure is exhibited by:

Match List-I with List-II

List-I (Uses of electromagnetic waves)	List-II (Type of electromagnetic waves)
(A) Aircraft navigation	(I) Infrared waves
(B) Cellular phones	(II) Microwaves
(C) Remote switches for TV sets	(III) Ultraviolet rays
(D) LASIK eye surgery	(IV)  Radio waves

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A uniform electric field of 16 N/C exists in the vertically downward direction. The increase in electric potential as one goes up through a height of 75 cm.