In a step down Transformer :

An electromagnetic wave moves in vacuum. Its speed is c. Choose the correct options about the characteristics of electromagnetic waves:
(A) \( c = \frac{1}{\sqrt{\mu_0 \epsilon_0}} \)
(B) Electromagnetic waves are transverse in nature.
(C) Both the electric field and magnetic field vibrate perpendicular to the direction of propagation of waves
(D) Electromagnetic waves are longitudinal in nature.
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Monochromatic light of frequency \( 6 \times 10^{14} \text{ Hz} \) is produced by a laser source. The energy of photon of light is:

The wavelength will be minimum in the transitions of electrons from:

There exists a horizontal magnetic field in space of value \( B = 9 \times 10^{-4} \text{ T} \). A magnetic bar of magnetic moment \( M = 9 \times 10^3 \text{ J/T} \) is placed at an angle \( \theta_i = 60^\circ \) to the field and is free to rotate. Finally, it comes to a position parallel to the field. Work done by magnetic field on the magnetic bar will be

A non-polar dielectric material is placed in an external electric field. Choose the correct statement(s) from the following:
(A) There will be no change in the positions of positive and negative charges inside the dielectric.
(B) The positive charges of molecules will shift opposite to the direction of the electric field.
(C) The negative charges of molecules will shift in the direction of the electric field.
(D) The positive charges of the molecules will shift in the direction of the field and negative charges of the molecules will shift opposite to the field.
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Out of the following statements, which statements explain the difference between forward biasing and reverse biasing in a p-n junction correctly?

Forward biasing in a p-n junction	Reverse biasing in a p-n junction
(A) p-side is connected to the +ve terminal and n-side to the -ve terminal of the battery.	p-side is connected to the -ve terminal and n-side to the +ve terminal of the battery.
(B) Depletion layer becomes thicker.	Depletion layer becomes thin.
(C) Resistance across the p-n junction increases.	Resistance across the p-n junction decreases.
(D) the current is due to majority charge carriers.	the current is due to minority charge carriers.

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The products for the reaction of KMNO₄ with potassium iodide in acidic solutions are

Read the passage carefully and answer
When a metal is placed in a solution of its ions, the metal can lose electron and can go in the solution as ion or the metal ion in the solution can take electron from the electrode and get deposited as metal. Thus, the electrode acquires either positive or negative charge with respect to the solution leading to the development of a potential difference between the metal electrode and the solution. This potential difference is called the electrode potential of the metal. The electrode potential of a metal is a measure of relative tendency to undergo oxidation (loss of electron) or reduction (gain of electron). When the concentration of the ions in the solution is unity, the electrode potential is called standard electrode potential. The magni of potential depends upon the nature of electrode, concentration of ions in solution and the temperature. In a galvanic cell, the electrode at which oxidation occurs is known as anodic half-cell and the electrode at which reduction occurs is known as cathodic half cell. The emf of the cell in terms of standard reduction potential is given by \(E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode. }}^{\circ}\).The standard free energy change of the redox reaction taking place in the cell is related to \(E_{\text {cell }}^{\circ}\) by \(\Delta G^{\circ}=-n F E^{\circ}\). A redox reaction would occur spontaneously if the free energy change is negative. The equilibrium constant of the reaction is related to the standard free energy change by \(\Delta G^{\circ}=-R T \ln K\).
The equillibrium constant of a feasible cell reaction is

Match List - I with List - II.

List - I	List - II
(A) Antifreeze used in car engine	(I) Phenol
(B) Starting material for picric acid	(II) Glycerol
(C) Wood spirit	(III) Ethylene glycol
(D) By product of soap industry used in cosmetics	(IV) Methanol

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Match List-I with List-II (Symbols have their usual meanings)

List-I (Physical Quantity)	List-II (Expression)
(A) Current density	(I) \( \frac{e E \tau}{m} \)
(B) Drift velocity	(II) \( \frac{n e^2 \tau}{m} \)
(C) Conductivity	(III) \( \frac{e \tau}{m} \)
(D) Mobility	(IV) \( n e v_d \)

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The domain of the function \(y=\sin ^{-1}(x-1)+\cos ^{-1} \sqrt{x-1}\) is:

ABO blood group is an example of: