The phase difference between virtual voltage and virtual current for a wattless current will be:

Electrostatics deals with the study of forces, fields and potential arising from static charges. Which of the following statements are correct ?
(A) Electrostatic force is a conservative force
(B) Charge is quantized because only integral number of electrons can be transferred from one body to the other
(C) In a uniform electric field E , an electric dipole experiences a torque \(\tau\) and a net force F .
(D) The electric field lines start from positive charges and end at negative charges. If there is a single charge, these may start or end at infinity.
(E) If the uniform surface charge density of an infinite plane sheet is positive, the electric field is directed away from the plate.
Choose the correct answer from the options given below :

The total energy of the electron in a hydrogen atom is \( -1.51 \text{ eV} \).
A. Its Kinetic energy is \( -1.51 \text{ eV} \)
B. Its potential energy is \( -3.02 \text{ eV} \)
C. electron is in second excited state
D. The ground state energy of hydrogen atom is 13.6 eV
Choose the correct answer from the options given below:

When a ray of light is incident on the face AB of prism normally, after refraction it is found to graze the side AC as shown in the figure, the refractive index of the prism is

Two coherent monochromatic light beams of intensities 16I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are-

In a potentiometer, a cell is balanced at 240 cm. On shunting the cell with 2 \(\Omega\) resistance, the balancing comes at 120 cm. What is the internal resistance of the cell ?

A body oscillate with SHM according to equation (SI unit),
\( x = 10 \cos(2\pi t + \pi/4) \)
at t= 1.5 s, calculate the speed of the body.

The particular solution of the differential equation \(\left[\log \left(\frac{d y}{d x}\right)=3 x+4 y\right.\) satisfying \(y=0\) when \(x=0\) is :

If the corner points of the bounded feasible region of an LPP with objective function maximize \(Z=2 x+3 y\) are \((0,0),(1,2)\) and \((1,1)\), then its optimal value is

The radius of the inner most electron orbit of a hydrogen atom is 0.53 Å. What is the radius of orbit of \(2^{\text {nd }}\) excited state ?

Maximum transgenic animals existing are:

\(\int\left(\frac{1}{\log _e x}-\frac{1}{\left(\log _e x\right)^2}\right) d x\) is equal to

Light of uniform intensity shines perpendicularly on a totally absorbing surface, fully illuminating the surface. If the area of the surface is decreased, what is the effect on radiation pressure ?