Choose the correct statements from the following :
(A) For a point charge, concentric spheres centred at the location of the charge are equipotential surfaces
(B) For practical purpose the earth is used as a reference at zero potential in electrical circuit
(C) In a cavity within a conductor without charges, the electric field is zero
(D) During charging by rubbing, the insulating material with higher work function becomes positively charged
(E) Dielectric polarisation means formation of electric dipole inside the dielectric
Choose the correct answer from the options given below :

A telescope has an objective lens of 0.1 m diameter and is situated at a distance of 500 m from two objects. What will be the minimum distance between these two objects which can be resolved by the telescope? The mean wavelength of light is 600 nm.

Which of the following statement is NOT true, when two capacitors charged to different potential are connected in parallel by a conducting wire ?

A ray is incident normally on the face of an equilateral prism of refracting angle \(60^{\circ}\).
The refractive index of the prism is \(\frac{2}{\sqrt{3}}\).
The angle of deviation will be:

A potential difference of 3 V is applied across a conductor of resistance \(1.5 \Omega\).
The number of electrons flowing through it in one second would be:
(Given charge of an electron, \(e=1.6 \times 10^{-19} C\) )

A student is asked to observe his face in three different types of mirrors P, Q, R one by one by holding each mirror close to his face at same distance. Mirror P given exact and same size image, Q gives exact but smaller while R gives exact but larger image.
A. P is Convex mirror, Q is Plane, R is Concave
B. P is Plane, Q is Convex, R is Concave
C. P is Concave, Q is Plane, R is Convex
D. P is Convex, Q is Concave, R is Plane
Choose the correct answer from the options given below:

The generalised communication system will have following essential components in sequence in a block diagram.
(A) Transmitter
(B) Channel
(C) Receiver
(D) Information source
(E) User of information
Choose the correct answer from the options given below :

Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Oxidation states of Mn in \(MnO _2, KMnO _4\) and \(K _2 MnO _4\) are

The sedative & painkiller drug useful for the patients who have undergone surgery is-

The correct shape \(\&\) hybridisation for \(XeF_2\) are:

Which of the following statements, with reference to a solution, are correct?
(A) The osmotic pressure of the solution is proportional to the molarity of the solute.
(B) The elevation of the boiling point (\(\Delta T_b\)) is directly proportional to the molal concentration of the solute in a solution.
(C) The unit of \(K_b\) is \(\mathrm{K} \mathrm{kg}^{-1} \mathrm{~mol}^{-1}\).
(D) \(\Delta T_b=T_b^0-T_b\).
Choose the correct answer from the options given below:

In a photoelectric experiment, the wavelength of incident light is increased from \( 5 \times 10^{-10} \text{ m} \) to \( 9 \times 10^{-10} \text{ m} \), while the intensity of radiation remains the same. Choose the correct statement from the following.

Magnetic moment values for \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) and \(\left[ Fe ( CN )_6\right]^{3-}\) are ....