An emf of \( 0.5 \text{ V} \) is developed in the secondary coil, when current in primary coil changes from \( 5.0 \text{ A} \) to \( 2.0 \text{ A} \) in \( 300 \text{ milliseconds} \). The mutual inductance of two coils would be :

Two identical short bar magnets each of magnetic moment \( 12.5 \text{ Am}^2 \) are placed with 10 cm separation between their centers as shown in the figure. The magnitude of magnetic field at O is

The maximum torque acting on a coil having an effective area \( 0.04 \text{ m}^2 \) and carrying current of \( 100 \mu A \) is \( 4 \times 10^{-8} \text{ N m} \), when placed in a magnetic field. The magnitude of the magnetic field is

An electron moving with velocity of \(5.4 \times 10^6\) m/sec. What is the de-Broglie wavelength associated with them (\(h = 6.63 \times 10^{-34}\) J/s)

In free space, all components of the complete electromagnetic spectrum have the same

A photoelectric surface is illuminated successively by monochrounstic light of wavelength \(\lambda\) and \(0.5 \lambda\). What will be the work function of the photosenaltive material of the marimum linetic energy of the photo electrons in the second case is 5 times that of the first case?

The power of a combination of convex lens of focal length 40 cm and a concave lens of focal length 25 cm when placed in contact is :

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 measured potential for
\(A g ^{+}+ e ^{-} \rightarrow A g ( s )\)
does not change with

A line makes equal angles with coordinate axis. Direction cosines of the line are:

The value of the determinant \(\left|\begin{array}{ccc}a \cos \theta & b \sin \theta & 0 \\ -b \sin \theta & a \cos \theta & 0 \\ 0 & 0 & c\end{array}\right|\) is :

The projection of \(\hat{i}-\hat{j}\) on the vector \(\hat{i}+\hat{j}\) is :

Match the complexes given in List - I with the geometry given in List - II

List - I (Complex)	List - II (Geometry)
(A) \(\left[ NiCl _4\right]^{2-}\)	(I) Tetrahedral, paramagnetic
(B) \(\left[ Ni ( CN )_4\right]^{2-}\)	(II) Square planer, diamagnetic
(C) \(\left[ CoF _6\right]^{3-}\)	(III) Octahedral, diamagnetic
(D) \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)	(IV) Octahedral, paramagnetic

Choose the correct answer from the options given below:

The wavelength of the de-Broglie wave associated with an electron accelerated through 150 V is: