Match List-I with List-II

List-I	List-II
(A) Charge on an electron	(I) 1
(B) Electric permittivity of free space	(II) \( 1.6 \times 10^{-19} \) C
(C) Number of lines of force from 1C of charge in free space	(III) \( 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
(D) Dieletric constant of vaccum	(IV) \( 13 \times 10^{11} \)

Choose the correct answer from the options given below:

Two point charges \(+3 \mu C\) and \(-8 \mu C\) attracts each other with a force of 40 N , when separated by finite distance d . If a charge of \(+5 \mu C\) is added to each of them, then the force between them will become:

A bar magnet, of certain magnetic moment is cut into two equal parts perpendicular to its length (as shown in figure.) The pole strength of each magnetic piece will be :

The de Broglie wavelength of an electron, a proton, and an alpha particle are represented by \(\lambda_e, \lambda_p, \lambda_\alpha\) respectively. If kinetic energy of electron, proton and alpha particle is same, then which of the following is correct.

When light passes from air to glass, then

The correct sequence A, B, C, D, E with reference to atomic spectral series is :
(A) Lyman series \(\frac{1}{\lambda}=R\left(\frac{1}{A^2}-\frac{1}{n^2}\right)\)
(B) Balmer series \(\frac{1}{\lambda}=R\left(\frac{1}{B^2}-\frac{1}{n^2}\right)\)
(C) Pfund series \(\frac{1}{\lambda}=R\left(\frac{1}{C^2}-\frac{1}{n^2}\right)\)
(D) Brackett series \(\frac{1}{\lambda}=R\left(\frac{1}{D^2}-\frac{1}{n^2}\right)\)
(E) Paschen series \(\frac{1}{\lambda}=R\left(\frac{1}{E^2}-\frac{1}{n^2}\right)\)
Choose the correct answer from the options given below :

A current is uniformly distributed across the cross-section of cylindrical wire of radius R = 4 mm with current density \( J = 2.5 \times 10^5 \text{ Am}^{-2} \). The amount of current flowing through the outer portion of the wire between radial distance R/2 and R is

For \(x \in R\), if \(f(x)=-(x-1)^2+2\), then
(A) f is an increasing function on \((-\infty, 1)\)
(B) ƒ has no critical points
(C) ƒ has a maximum value at x = 1
(D) ƒ has a minimum value at x = 1
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions
The transition metals and their compounds are known for their catalytic activity. This activity is ascribed to their ability to adopt multiple oxidation states and to form complexes. Vanadium(V) oxide (in Contact Process), finely divided iron, and nickel (in Catalytic Hydrogenation) are some of the examples. Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding). This has the effect of increasing the concentration of the reactants at the catalyst surface and also weakening of the bonds in the reacting molecules (the activation energy is lowering). Also because the transition metal ions can change their oxidation states, they become more effective as catalysts.
Which of the following is incorrect about the ability of catalytic action of transition metals?

Which of the following is not tetrahedral in shape?

The current in a circuit having constant resistance is tripled. The power dissipation will become :

The area of the region bounded by \(x^2=4 y\) and \(x=4 y-2\) (in sq. units) is:

A copper ball of density \(8 ~ g / c c\) and \(1 c m\) diameter, immersed in oil of density 0.8 \(g / cc\), remains suspended in an electric field of \(600 \pi V / m\). The charge on the ball is :