In Rutherford's scattering experiment, if impact parameter \( b = 0 \), then the value of the scattering angle will be :

Which one of the following can not be polarized?

A slit is illuminated by light of wavelength \( 6500 \text{ \AA} \).
The first minimum is observed at \( \theta = 30^\circ \). The width of the slit is:

Match List-I with List-II

List-I	List-II
(A) Electrical permittivity	(I) \(N m^2 C^{-1}\)
(B) Electric flux	(II) \(N^{-1} m^{-2} C^2\)
(C) Electric field	(III) \(Cm ^{-2}\)
(D) Surface charge density	(IV) \(N C^{-1}\)

Choose the correct answer from the options given below:

Which of the following statements are correct?
(A) Permeability of soft iron < permeability of steel
(B) Susceptibility of soft iron > susceptibility of steel
(C) Retentivity of soft iron > Retentivity of steel
(D) Coercivity of soft iron > coercivity of steel
Choose the correct answer from the options given below :

Which of the following statements are correct?
(A) the mid-point between the two similar and equal point charges located nearby, is called neutral point.
(B) There are maximum number of field lines at the neutral point.
(C) The work done to bring any positive charge from infinity to a point in an electric field is called the electric potential at that point.
(D) The work done to move a charge from one point to another point on the equipotential surface will be zero.
Choose the correct answer from the options given below:

A free electron is placed in the path of a plane electromagnetic wave. The electron will start moving -

In the extraction of metallic Zn from calamine ore \(\left( ZnCO _3\right)\) following steps are involved :
(A) Distillation of impure Zn
(B) Calcination of the ore
(C) Hydraulic washing of ore
(D) Reduction of ZnO using coke
Choose the correct order of steps from the options given below :

Which of the following statements are correct?
(A) When light rays undergoes two internal reflections inside a raindrop, a secondary rainbow is formed.
(B) The angle between the emergent ray and angle of prism is called the angle of deviation.
(C) Light undergoes successive total internal reflections as it move through an optical fibre.
(D) A telescope provides angular magnification of distant objects.
(E) A simple magnifier is a diverging lens of small focal length.
Choose the correct answer from the options given below :

Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to :

Which of the following reagent is not used to convert aldehyde into alcohol?

An objective function \(z=a x+b y\) is maximum at points \((15,15)\) and \((0,20)\). If \(a, b \geq 0\) and \(a b=27\), then the maximum value of the objective function is

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, ns, np or ns, np, nd 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.
Which of the following represents the correct pair?