The drift velocity of electrons in a conductor is 'v' when a current 'i' flows through it. If the area of the cross-section of the conductor is reduced to half of its initial value, then the drift velocity will be :

Two long and parallel straight wires A and B carrying currents of 10.0 A and 5.0 A in the same direction are separated by a distance of 5.0 cm. Estimate the force on a 10 cm section of wire A.

Which of the following statements are correct?
A. Two major types of resistors are wire bound resistors and carbon resistors.
B. Mobility is the drift velocity per unit electric field.
C. The internal resistance of dry cells is much lower than the common electrolytic cells.
D. In electrolytic liquids, electrons carry the electric current.
E. Potentiometer is unaffected by the internal resistance of the source.
Choose the correct answer from the options given below:

At some instant, the current in the circuit shown below is 1 A, and it is decreasing at a rate of \( 10^2 \text{ A/s} \). The value of the potential difference \( (V_P - V_Q) \) at that instant is:

When an n-p-n transistor is used as an amplifier, then :

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

Choose the correct answer from the options given below:

Conditions for obtaining a interference pattern of light are
(A) Two waves should be coherent
(B) The distance of the screen from the slits should be small
(C) The separation between slits should be small
(D) Two coherent waves should have nearly the same amplitude
Choose the correct answer from the options given below:

Werner was the first to describe the bonding features in coordination compounds. But his theory could not answer basic questions like :
(i) Why only certain elements possess the remarkable property of forming coordination compounds ?
(ii) Why the bonds in coordination compounds have directional properties ?
(iii) Why coordination compounds have characteristics magnetic and optical properties ?
Many approaches have been put forth to explain the nature of bonding in coordination compounds viz. Valence Bond Theory (VBT), Crystal Field Theory (CFT), Ligand Field Theory (LFT) and Molecular Orbital Theory (MOT).
We shall focus our attention on elementary treatment of the application of VBT and CFT to coordination compounds.
According to this theory, the metal atom or ion under the influence of ligands can use its ( \(n -1\) )d, ns np or ns, np, nd orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on.
These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding.
The formula which correctly represents Potassium tetra hydroxo zincate (II) is :

Consider the LPP: Minimize \(Z=x+2 y\) subject to \(2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0\). The optimal feasible solution occurs at:

Ethanol is treated with concentrated sulphuric acid. The product formed is :

Two pipes P and Q can fill a tank in 26 minutes and 52 minutes respectively.
Both the pipes are opened together for some time and then pipe P is closed.
If the tank is filled in 26 minutes, then after how many minutes pipe P is closed?

\(\int \frac{d x}{1+\tan x}\) is equal to:

A telescope has an eye piece of focal length 5.0 cm. The objective lens has focal length 12 times that of the eye-piece. In normal adjustment, what is the separation between the two lenses?