Choose the correct statements from the following:
A. Displacement current is due to time varying magnetic field.
B. The frequency of the electromagnetic wave naturally equals the frequency of oscillation of the charge.
C. Light carries energy from the Sun to the Earth.
D. Electromagnetic wave does not exert pressure.
E. Electromagnetic wave contains both electric and magnetic field.
Choose the correct answer from the options given below:

Identify the correct statements among the following.
(A) Inside a conductor, electrostatic field is non-zero
(B) Electrostatic potential is constant throughout the volume of the conductor and has the same value (as inside) on its surface
(C) In a conductor with a cavity, with no charges inside the cavity, the electric field inside the cavity is non-zero, whatever be the size and shape of the cavity
(D) At the surface of a charged conductor, electrostatic field must be normal to the surface at every point.
Choose correct answer from the options given below:

A capacitor charged from a 50 V d.c. supply is found to have a charge of \( 10 \ \mu\text{C} \).The capacitance of the capacitor would be:

A straight wire of length 2 m and mass 50 g carrying a current of 4 A is balanced in air with the force due to uniform magnetic field acting perpendicular to the length of the wire. The magnitude of magnetic field is:

In a transformer, the input current and voltage are 3 A and 50 V respectively. The ratio of the number of turns in the primary coil to secondary coil is 5 : 3. The output current and voltage, respectively, are

Two long and parallel straight wires, each carrying current \(I\) in the same direction, are separated by a distance of 40 cm. If the force of attraction per metre between them is \(2 \times 10^{-6} \text{ N/m}\), the value of \(I\) will be: (Given: \(\mu_0 = 4\pi \times 10^{-7} \text{ T}⋅­­m⋅­­A^{-1}\))

Identify the correct statements
(A) Electric current arises due to the continuous flow of electrons or ions.
(B) A current flows through a conductor only when there is an electric field within the
conductor.
(C) The drift velocity of electrons is directly proportional to the applied electric field.
(D) The average thermal velocity of the electrons in a conductor is zero.
(E) In the absence of an electric field, the electrons in a conductor are at rest.
Choose the correct answer from the options given below :

Which one of the following is not an example of narrowly utilitarian reason to conserve biodiversity?

Area (in sq. units) of the region bounded by the curves \(y = - 1, y = 2 x = y^3\) and \(x = 0\) is

The refractive index of a glass prism is minimum for

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 standard Oxidation potential \(E^0\) for the half cell reactions are
\(Zn \rightarrow Zn ^{2+}+2 e^{-}: E^0=+0.76 V\)
\(Fe \rightarrow Fe ^{2+}+2 e^{-}: E^0=+0.41 V\)
The emf of cell \(Fe ^{2+}+ Zn \rightarrow Zn ^{2+}+ Fe\) is

If a pink flowered Snapdragon plant is crossed with a white flowered Snapdragon plant, what will be the phenotypic ratio of their progeny?

Let \(x\) denote the number of heads in a simultaneous toss of three coins, then \(P(0 < x \leq 3)\)