The time taken by light to travel normally through a glass plate of thickness 1 mm would be : (Take refractive index of glass = 1.5)

Two identical cells each of emf E and internal resistance r are connected in parallel, their equivalent emf and equivalent internal resistance respectively will be:

A cell of emf 10 V and the internal resistance 1 \( \Omega \) is being charged by an external supply of 100 V. An external resistance of 8 \( \Omega \) is connected to the charging circuit. The current in the circuit is

Three particles, each having a charge of \( 10 \, \mu\text{C} \), are placed at the vertices of an equilateral triangle of 10 mm. Find the work done by a person in pulling them apart to infinite separation.

When a ray of light is incident at an angle of incidence \( 60^\circ \) on one face of an equilateral prism the angle of deviation is found to be minimum. The refractive index of the prism is :

The half-lives of two radioactive specimens are \(T_1=5\) years and \(T_2=7.5\) years.
The ratio of their disintegration constants \(\lambda_1\) and \(\lambda_2\) is:

Which is quantised in Bohr's atomic model ?

Answer the question on basis of passage given below :
Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.
Amongst the following ions which should have the highest magnetic moment value?

Two inductor coils of self inductance \( L_1 \) and \( L_2 \) having same length and same area of cross-section are placed so close that effective flux in one coil is completely linked with the other. The mutual inductance between them is, is equal to:

In Young's double slit experiment, the light has a frequency of \(6 \times 10^{14}\) Hz and the distance between the centers of adjacent fringes is 0.75 mm. If the screen is 1.5 m away, what is the distance between the slits?

A, B, and C are parallel conductors of equal lengths carrying current I, 2I and 3I respectively, as shown in the figure. \( F_1 \) is the force exerted by B on A and \( F_2 \) is the force exerted by C on A. Choose the correct answer

Match List-I with List-II (Where R is the set of real numbers)

List-I	List-II
(A) \(sin\) \(x\) is continuous on :	(I) \(R -\{0\}\)
(B) \(tan\) \(x\) is continuous on :	(II) \(R\)
(C) \(\cot x\) is continuous on :	(III) \(R -\{n \pi: n \in Z \}\)
(D) \(x^{-n}, n \in N\) is continuous on:	(IV) \(R -\left\{(2 n+1) \frac{\pi}{2}: n \in Z \right\}\)

Choose the correct answer from the options given below :

A magician during a show makes a glass lens \( \mu = 1.5 \) disappear in a trough of liquid. The refractive index of the liquid would be :