Identify the correct statements about the internal resistance of a cell:
(A) It depends on the nature of the electrolyte
(B) It increases with the increase in temperature of the electrolyte
(C) It increases with the decrease in temperature of the electrolyte
(D) It increases with the distance between the two electrodes
Choose the correct answer from the options given below:

A coil with an inductance of 0.2 H has an inductive reactance of \( 62.8 \, \Omega \) at a certain frequency. The frequency is

A message signal of frequency \(\omega_m\) is superposed on a carrier wave of frequency \(\omega_c\) to get an amplitude modulated wave (AM). The frequency of the AM wave will be :

Rohit has been given two converging lenses of focal lengths 1.25 cm and 5 cm, respectively to design a compound microscope. If it is desired to have a magnification of 30, what would be the separation between the objective and the eyepiece when the final image is formed at the least distance of distinct vision?

Kirchhoff's second law for an electric network is based on:

The critical angle for light ray going from medium-1 to medium-2 is \(i_c\). What will be the speed of light in medium-2, if its value in medium-1 is \(u\) ?

A radioactive substance decays to \( \frac{1}{32} \text{th} \) of its initial activity in 30 days. Its half life period will be:

If \(A=\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]\), then \(A^2-5 A+7 I=\)

In an AC generator when the plane of the armature is perpendicular to the magnetic field, what will be the magnitude of the magnetic flux passing through the coil and the emf induced in the coil be ?

The magnitude of electric force exerted by a proton on an electron in a hydrogen atom is, (Given distance of separation between charges, 1 \( \text{\AA} \))

Answer the question on basis of passage given below :
Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.
Amongst the following ions which should have the highest magnetic moment value?

The formation of pomato is an example of:

Match List - I with List - II

List - I	List - II
(A) Line: x = 2y + 1 = z - 1	(I) Crosses xz-plane at (1,0,1)
(B) Line: x + 1 = 2y + 1 = z	(II) Crosses xz-plane at (0,0,1)
(C) Line: x - 1 = 2y = z + 1	(III) Crosses xz-plane at (1,0,-1)
(D) Line: x - 1 = 2y = z - 1	(IV) Crosses xz-plane at (1,0,2)

Choose the correct answer from the options given below: