Explain in detail the Electrostatic Potential difference between the charges.

How many electrons are there in one coulomb of negative charge?

In the circuit shown in figure. Find
(i) The equivalent capacitance and
(ii) The charge stored in each capacitor

Explain the variation of resistivity of conductor and semiconductor with change in temperature.

Two metallic wires P₁ & P₂ of the same material & same length but different cross sectional areas A₁ & A₂ are joined together & connected to a source of emf. Find the ratio of the drift velocities of free electrons in the two wires when they are connected
(i) in series &
(ii) in parallel.

An aluminium wire of diameter 0.24 cm is connected in series to a copper wire of diameter 0.16 cm. The wires carry an electric current of 10 A. Determine the current density in aluminium wire.

Use Kirchhoff's laws (rules) to determine the potential difference between points A and D when no current flows in the arm BE of the electric network shown in the figure below.

Drive an expression of Potential energy of a bar magnet in a uniform magnetic field.

Deduce the expression for the torque \(\vec { \tau } \) when \(\hat { n } \) unit vector n is at an angle 8 with the field.

A solenoid of length 0.5m has aradius of 1cm and is made up of 500 turns. It carries a current of 5A. What is the magnitude of magnetic field inside the solenoid?

Derive a relation between mean or average value of AC and its peak value.

A long solenoid with 20 turns per cm has a small loop of area 2cm² placed inside the solenoid normal to its axis. If the circuit carried by the solenorid changes steadily from lA to 3A in 0.2s. What is the-induced emf in the loop while the current is changing.

A wire of length 0.3m moves with a speed of 20 m/s perpendiculars to the magnetic field of induction Iwb/m². Calculate the induced emf.

The current flowing through an inductor of self-inductance L is continuously increasing plot a graph showing the variation of
a) Magnetic flux versus current.
b) induced emf versus \(\frac{dI}{dt}\)
c) magnetic potential energy stored versus the current.

The oscillating magnetic field in a plane Electromagnetic wave is given by
B = (8 x 10^-6) sin (2 x 10¹¹ t + 300 πx) T
(i) Calculate the λ of Electromagnetic wave.
(ii) Find the amplitude of electric field.

About 5 % of the power of a 100 W light bulb is connected to visible radiation. What is the average intensity of visible radiation at the distance of 1m from the bulb?

The total magnification produced by a compound microscope is 20. The magnification produced by the eyepiece is 5. The microscope is focused on a certain object. The distance between the objective and eyepiece is observed to be 14 cm. If the least distance of distinct vision is 20 cm, calculate the focal length of the objective and the eyepiece.

A double convex lens, made from a material of refractive index μ₁ is immersed in a liquid of refractive index μ₂ where μ₂ > μ₁ What change, if any, would occur in the nature of the lens?

A convex lens, of focal length 20 cm, has a point object placed on its principal axis at distance of 40 cm from it. A plane mirror is placed 30 cm behind the convex lens. Locate the position of image formed by this combination.

Write briefly the underlying principle used in Davison-Germer experiment to verify wave nature of electrons experimentally. What is the de-Broglie wavelength of an electron with kinetic energy (KE) 120 eV?

Calculate the de Broglie wavelength of a neutron of kinetic energy 150 eV. Mass of neutron = 1.67 x 10^-27 kg.

Plot a graph showing the variation of del Broglie wavelength λ versus \(\frac { 1 }{ \sqrt { V } } \) , where V is accelerating the potential for two particles A and B carrying the same charge but of masses m₁, m₂ (m₁ > m₂). Which one of the two represents a particle of smaller mass and why?

(a) Define the term 'intensity of radiation' in terms of photon pictures of light.
(b) Two monochromatic beams, one red and the other blue, have the same intensity. In which case
(i) the number of photons per unit area per second is larger,
(ii) the maximum kinetic energy of the photoelectrons is more? Justify your answer.

Obtain the amount  \(_{ 27 }^{ 60 }{ Co }\) necessary to provide a radioactive source of 8.0 mCi strength. The half-life of \(_{ 27 }^{ 60 }{ Co }\) is 5.3 years.

A radioactive isotope has a half-life of T years. How long will it take the activity to reduce to 3.125% of its original value?

Write any two distinguishing features between Insulators, Metals and semiconductors and insulators an the basis of energy band diagrams.

What is RADAR? Explain its function. State its applications

Write the advantages and disadvantages of robotic.