A solenoid has a core of a material with a relative permeability of 500 . The windings of the solenoid are insulated from the core and carry a current of 0.5 A . If the number of turns is 2000 per metre, the magnetic intensity is

For common emitter transistor amplifier the Audio Signal Voltage across the collector resistance of \( 2 \text{ k}\Omega \) is 2 V. Given that the current amplification factor of the transistor is 100, the base current is:

Figure shows a coil C connected to a galvanometer G. When the North-pole of a bar magnet is pushed towards the coil, the pointer in the galvanometer deflects. Regarding this set up, the following statements are given:
(A) It indicates the presence of electric current in the coil.
(B) The deflection is found to be smaller when the magnet is pushed towards the coil faster.
(C) There is repulsion in the moving magnet and the magnetic pole induced in the coil facing towards the N pole of the magnet.
(D) If the bar magnet does not move, there is no induced current in the coil.
Choose the correct answer from the options given below:

Transverse nature of electromagnetic waves are/is evident by:
A. Interference
B. Dispersion
C. Polarisation
D. Diffraction
Choose the correct answer from the options given below:

Which of the following statements are correct related to electric potential energy?
(A) The electric potential energy is a vector quantity.
(B) The potential energy of two like charges is positive and for two unlike charges, it is negative.
(C) The work done by an electrostatic field in moving a charge from one point to another is independent of the path taken.
(D) The potential energy of an electric dipole in a uniform electric field is maximum, when the dipole moment is opposite to the electric field.
Choose the correct answer from the options given below:

A long wire with a small current element of length 1 cm is placed at the origin and carries a current of 10 A along the x-axis. The magnitude of the magnetic field, due to the element, on the y-axis at a distance \( r = 0.5 \, m \) from it, would be

The electric field intensity at a distance of 20 cm from the centre of a small conducting sphere is \(1.5 \times 10^3 \text{ N}⋅­­C^{-1}\) and is directed towards the sphere. The charge on the sphere is:

If A is a non-identity invertible symmetric matrix, then \(A^{-1}\) is:

Match List - I with List - II.

List - I	List - II
(A) Insulin	(I) Carbohydrate metabolism
(B) Glucocorticoids	(II) Controls blood sugar level
(C) Mineralocorticoids	(III) Low level of thyroxine
(D) Hypothyroidism	(IV) Control levels of excretion of salt

Choose the correct answer from the options given below :

A value of \(p\) for which the points \((1,1, p)\) and \((-3,0,1)\) are equidistant from the plane \(\vec{r} \cdot(3 \hat{i}+4 \hat{j}-12 \hat{k})+13=0\) is:

If \(A =\left(\begin{array}{cc}-a & b \\ c & a\end{array}\right)\) and \(A ^2= I\), where \(I\) is an Identity matrix of order 2, then which of the following is correct?

In a series LCR circuit an ac voltage source is connected. When inductor is removed from the circuit, the phase difference between the voltage and the current in the circuit is \( \frac{\pi}{3} \). If capacitor is removed from the circuit instead of inductor, the phase difference is again \( \frac{\pi}{3} \). What is the power factor of the circuit?

Which of the following is a hormone releasing IUD?