Work done in moving a charge q along a closed path of length l by an electric field \(\vec{E}\) is given by:

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 :

A square of side L meters lies in the xy-plane in a region where the magnetic field is given by \( \vec{B} = B_0(2\hat{i} + 4\hat{j} + 5\hat{k}) \, T \), where \( B_0 \) is constant. The magnitude of flux passing through the square is

Helium gas is filled in a transparent balloon which is kept in air. The balloon behaves as:

When current flowing in an inductive circuit is switched off, the induced current will be

Which of the following element has highest binding energy per nucleon ?

Huygen's wave theory of light could not explain the phenomenon of :

Which of the following is helpful in removing oil stains from the clothes ?

Gause's 'Competitive Exclusion Principle' states that :

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
Highest oxidation state of manganese in fluoride is \(+4\left( MnF _4\right)\) but highest oxidation state in oxides is \(+7\left( Mn _2 O _7\right)\) because:

Match List-I with List-II

List-I	List-II
(A) Charge on an electron	(I) 1
(B) Electric permittivity of free space	(II) \( 1.6 \times 10^{-19} \) C
(C) Number of lines of force from 1C of charge in free space	(III) \( 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \)
(D) Dieletric constant of vaccum	(IV) \( 13 \times 10^{11} \)

Choose the correct answer from the options given below:

Identify the incorrect fact about genetic modification.

At what speed should a galaxy move with respect to earth so that spectral line of \( 600.0 \text{ nm} \) appears as \( 600.6 \text{ nm} \) ?