Identify the correct properties of equipotential surfaces among the following.
(A) No work is done in moving a test charge over an equipotential surface.
(B) Electric field is always normal to the equipotential surface at every point.
(C) Equipotential surfaces are closer together in the regions of the strong electric field and farther apart in the regions of the weak electric field.
(D) No two equipotential surfaces can intersect each other.
Choose the correct answer from the options given below:

If the net flux through a cube is \( \Phi = 1.05 \, N \, m^2 C^{-1} \), what will be the total charge inside the cube?
(Given: The permittivity of free space is \( \epsilon_0 = 8.85 \times 10^{-12} \, C^2 N^{-1} m^{-2} \)).

A battery of 200 V charges a capacitor to \( 10 \times 10^{-6} \, C \). Now the battery is disconnected, and the plate separation is doubled. The potential of the capacitor will be

Arrange the following substances in the increasing order of magnetic susceptibility.
(A) Paramagnetic substances
(B) Superconductors
(C) Diamagnetic substances
(D) Ferromagnetic substances
Choose the correct answer from the options given below :

A cube is placed at the origin as shown in the figure. The electric field in the region is given as \( \vec{E} = (200 x^2 \hat{i}) \frac{\text{N}}{\text{C}} \). The flux coming out of the cube is:

What is the slope of the graph drawn between frequency of incident light and stopping potential for a given surface?

For transistor action, which of the following statements are correct?
A. Base, Emitter and Collector region have similar size and doping concentrations.
B. The base must be very thin and lightly doped.
C. The emitter junction is forward biased and the collector junction is reverse biased.
D. Both emitter and collector junction all forward biased.
Choose the correct answer from the options given below:

If limiting molar conductance of \(NaCl , K _3 PO _4\) and KCl are \(110.2,98.8\) and \(134.6 \Omega^{-1} cm^2 mol^{-1}\) respectively, the limiting molar conductance of \(Na _3 PO _4\) will be: \(\left(\Omega^{-1} cm^2 mol^{-1}\right)\)

If a scientist wants to recover many copies of the target DNA through recombinant DNA technology, what augmentation need to be done in cloning vector ?

The angular momentum of an electron moving in the circular path of diameter D in a uniform magnetic field \( B_0 \) is:

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Which one is the correct electronic configuration of sulphur?

The area bounded by the curve \(|x|+y=1\) and the axis of \(x\) is :

Given \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]\) and \(B=\left[\begin{array}{ll}x & y \\ 1 & 4\end{array}\right]\), If \(A=B\), then \(x\) and \(y\) are :