Applying the Kirchhoff's rule to the loop (a) ABCA and (b) BCDEB, two correct equations are given

(A) \(8-4 I_2-2\left(I_2+I_3\right)-I_1=0\)
(B) \(4-2\left(I_2+I_3\right)-4\left(I_2+I_3-I_1\right)=0\)
(C) \(4+2\left(I_2-I_3\right)-4\left(I_2+I_3-I_1\right)=0\)
(D) \(8+4 I_2+2\left(I_2-I_3\right)-I_1=0\)
Choose the correct answer from the options given below:

Stopping potential for photoelectrons :

Electric field at a point due to a uniformly charged infinite plane sheet is

The angular momentum of an electron in the third orbit of a hydrogen atom is
(Given: \( h = 6.6 \times 10^{-34} \text{ Js} \))

What is the approximate earth's dipole moment, if the earth's magnetic field at the Equator is approximately 0.5 G and diameter is \( 15.0 \times 10^6 \text{ m} \)?

A uniform electric field of 16 N/C exists in the vertically downward direction. The increase in electric potential as one goes up through a height of 75 cm.

Due to relative motion of a magnet with respect to coil, an emf is induced in the coil in accordance with

Cellulose is a __________ polymer composed of __________ .

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 half call reaction is the one that

Consider the LPP,
Maximize \(z=2 x+3 y\), subject to the conditions,
\(\begin{array}{l}x+y \leq 2 \\x \leq 2 \\x \geq 0, y \geq 0\end{array}\)
then maximum value of the objective function is:

A plane electromagnetic wave of frequency 50 MHz travels in free space along the z-direction. If at a particular point in space and time, \( \vec{E} = (9.3\hat{j}) \text{ V m}^{-1} \), what is \( \vec{B} \) at this point?

Three mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple is :

In water hyacinth, pollination is carried out by -
(A) Wind
(B) Water
(C) Insects
(D) Animals
Choose the correct answer from the options given below: