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

Which one among the following shows particle nature of light?

A long straight wire of a circular cross-section of radius 'a' is carrying steady current I. The current I is uniformly distributed across this cross-section. What will be the magnetic field in the region \( r < a \) and \( r > a \)?

Resistances in two gaps of a metre bridge are 8\( \Omega \) and 24\( \Omega \) , respectively. The distance by which the balance point shifts by interchanging the resistances in the two gaps, is

Which of the following statements are true about electromagnetic waves?
(A) Accelerated charges radiate electromagnetic waves.
(B) The frequency of the electromagnetic wave equals the frequency of oscillation of the charge.
(C) No material medium is involved in the vibrations of the electric and magnetic fields.
(D) Electromagnetic waves of different wavelengths have different velocities in free space/vacuum.
Choose the correct answer from the options given below:

A uniformly charged infinite plane sheet of charge density \( 2 \times 10^{-8} \text{ C m}^{-2} \) is held in air.
What will be the separation between two equipotential surfaces in the region of electric field produced by the sheet, if the potential difference between them is 10 V? (\( \varepsilon_0 = 8.85 \times 10^{-12} \text{ C}^2\text{N}^{-1}\text{m}^{-2} \))

An astronomical telescope uses an objective lens of focal length 30 cm. In normal adjustment, distance between the two lenses is 32 cm. The magnifying power of telescope is:

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 :

Which of the following statement(s) is/are incorrect?
(A) The Kirchhoff's laws are equally applicable in alternating current circuit and direct current circuits.
(B) It is not necessary that the wire stretched on the meter bridge must have a uniform cross-sectional area.
(C) The internal resistance of the cell does not affect the reading of the null point in metre bridge.
(D) Electrical potential has no direction, the electrical potential gradient has a direction.

The forbidden energy band gap in conductors, semi conductors and insulators are \( E_{G1}, E_{G2} \) and \( E_{G3} \), respectively. The relation among them is

Propene on addition with bromine in CCl4 gives

An electron is moving at a velocity of 100 m/s along the X-axis in the presence of an electric field of 30 V/m directed along the Y-axis and a magnetic field of 300 G directed along the Z axis. The magnitude and direction of force acting on the electron is (Given: the charge on the electron is "e")

Read the passage carefully and answer the Questions
According to Valence Bond theory, the metal atom or ion under the influence of ligands can use its ( \(n-1) d, n s, n p\) or \(n s, n p, n d\) orbitals for hybridisation to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on. These hybridised orbitals are allowed to overlap with ligand orbitals that can donate electron pairs for bonding. While the VB theory, to a larger extent, explains the formation, structures and magnetic behaviour of coordination compounds, it suffers from the many shortcomings. The Crystal field theory (CFT) is an electrostatic model which considers the metal-ligand bond to be ionic arising purely from electrostatic interactions between the metal ion and the ligand. The five \(d\) orbitals in an isolated gaseous metal atom/ion have same energy, i.e., they are degenerate. This degeneracy is maintained if a spherically symmetrical field of negative charges surrounds the metal atom/ion. However, when this negative field is due to ligands in a complex, it becomes asymmetrical and the degeneracy of the \(d\) orbitals is lifted. It results in splitting of the \(d\) orbitals. The pattern of splitting depends upon the nature of the crystal field.
Select the incorrect statement about the Crystal field splitting in octahedral complexes.