The intensity ratio of the two interfering beams of light is \( \beta \). The value of \( \left[ \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \right] \) is

A plane concave lens of glass (\( \mu = 1.5 \)) has a radius of curvature of its curved face 50 cm. The power of the lens is :

Which of the following statements are correct?
A. The number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation.
B. The minimum value of photoelectric current is called saturation current.
C. For a given frequency, stopping potential is independent of its intensity.
D. The stopping potential is same for all frequencies.

The angle of dip at a location in Southern India is about 18°. Which of the following is correct for dip angle in Britain ?
(A) Dip angle will be greater in Britain than in India.
(B) Dip angle will be smaller in Britain than in India.
(C) Nearer the place to the poles, lesser is the dip angle.
(D) Nearer the place to the poles, more is the dip angle.
(E) Dip angle is also called the angle of declination.

A galvanometer has a resistance of 8 \( \Omega \). It is shunted by a wire of resistance 2 \( \Omega \). If the total current is 2 A, the current passing through the shunt is

A point charge is placed at any point on the axis of an electric dipole at some large distance, experiences a force F. The force acting on the point charge when it's distance from the dipole is halved will be

Which of the following statements are correct?
(A) Electrostatic lines of force may be curved or straight in an electric field.
(B) Number of lines of force per unit perpendicular area represents the intensity of the electric field at the point.
(C) Two electric field lines can not intersect each other.
(D) Electric field lines are directed from negative to positive charge for an electric dipole.
Choose the correct answer from the options given below:

Which one of the followings is an auto-immune disease?

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral complez to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_{\circ}\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_0\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
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If \(x y=e^{(x-y)}\), then \(\frac{d y}{d x}\) is equal to:

The ratio of velocity of light in vacuum to that of velocity of light in medium is: (where symbols have their usual meanings).

Arrange the following in increasing order of basic strength in aqueous solution :
(A) \(C _6 H _5 NH _2\)
(B) \(C _2 H _5 NH _2\)
(C) \(\left( C _2 H _5\right)_2 NH\)
(D) \(NH _3\)
Choose the correct answer from the options given below:

The terms dissolution, crystallization, dynamic equilibrium and saturated solution are defined respectively, as
(A) no more solute can be dissolved in the solution at a given temperature and pressure
(B) some solute dissolves and its concentration increases in solution
(C) some solute particles in solution collide with the solid solute particles and get separated out of solution
(D) number of solute particles going into solution will be equal to the solute particles separating out of the solution
Choose the correct answer from the options given below: