The correct statement given below are :
(A) \(\chi = 1 + \mu_r\)
(B) \(\mu_r = 1 + \chi\)
(C) \(B = \mu_0(H + M)\)
(D) \(H = \frac{B_0}{\mu_0}\)
(E) \(B_0 = \mu_0 H\)
Here x = magnetic susceptibility
\(\mu_r\)= Relative magnetic permeability
B = Magnetic field
M = Magnetisation
H = Magnetic Intensity
\(\mu_0\)= Magnetic permeability
Choose the correct answer from the options given below:

The force between two small charged spheres having charges of \( 0.2 \, \mu\text{C} \) and \( 0.6 \, \mu\text{C} \) placed 0.6 m apart in air will be:

If 'n' identical resistors, each of value 'R' are first connected in series to a battery of emf 'E' and internal resistance 'R', the current drawn is 'I'. Now if they are connected in parallel, then the current drawn is '5 I'. The value of n is

A surface with area \( \vec{S} = 20 \hat{k} \) is held in an electric field \( \vec{E} = \hat{i} + 2\hat{j} + 5\hat{k} \). The electric flux linked with the surface is

The wavelength of light from the spectral emission line of sodium is 662 nm.
The kinetic energy at which an electron would have the same de-Broglie wavelength would be:
(Given: \( h = 6.62 \times 10^{-34} \text{ J s}, m_e = 9 \times 10^{-31} \text{ kg} \))

In an electromagnetic wave, if \(\vec{B}\) and \(\vec{E}\) represent the magnetic field and electric field respectively, then the direction of propagation of the electromagnetic wave is along the direction of:

Which of the following statements are not true for equipotential surfaces ?
A. Equipotential surface through a point is normal to electric field at that point.
B. There is a constant potential difference between any two points on the equipotential surface.
C. No work is required to move a test charge on the equipotential surface.
D. The vale of electric potential is constant at all points on the equipotential surface.
E. Equipotential surfaces can not be drawn for an electric dipole.
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Work done in moving a charge q along a closed path of length l by an electric field \(\vec{E}\) is given by:

Low concentration of oxygen in the blood and tissues of people living at high altitude is due to :

Which of the following is incorrect with reference to drug abuse?

In Ampere-circuital law, the missing term is:

If the system of equations
\(x-3 y+5 z=3\)
\(x-2 y+4 z=4\)
\(2 x-7 y+\lambda z=5\)
has infinite number of solutions, then the value of \(\lambda\) is:

Benzene ring in phenol is expected to give the characteristic substitution or replacement reactions i.e. halogenation, nitration, sulphonation, alkylation etc. In these reactions, the attacking reagent is electrophile. The phenolic group activates the ortho and para positions in the ring due to conjugation. Disubstitution reactions are quite fast as the electron density in the ring has increased considerably. Phenols do not respond to nucleophilic substitution reactions as it is influenced by phenolic group.
Victor Meyer test gives following observations. Match List I with List II:

List-I	List-II
A. Blood red colouration	I. Tertiary alcohol
B. Blue colouration	II. Phenols
C. Colourless solution	III. Primary alcohol
D. Violet colouration with \(\text{FeCl}_3\)	IV. Secondary alcohol

Choose the correct answer from the options given below: