HSC Science Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions

Define self-inductance of a coil interms of

1. magnetic flux and
2. induced emf

How will you define the unit of inductance?

What do you understand by self-inductance of a coil?

Give the physical significance of self-inductance of a coil.

Assuming that the length of the solenoid is large when compared to its diameter, find the equation for its inductance.

An inductor of inductance L carries an electric current i. How much energy is stored while establishing the current in it?

Show that the mutual inductance between a pair of coils is same (M₁₂ = M₂₁).

Determine the self-inductance of 4000 turn air-core solenoid of length 2m and diameter 0.04 m.

Two air core solenoids have the same length of 80 cm and same cross–sectional area 5 cm². Find the mutual inductance between them if the number of turns in the first coil is 1200 turns and that in the second coil is 400 turns.

A long solenoid having 400 turns per cm carries a current 2A. A 100 turn coil of cross-sectional area 4 cm² is placed co-axially inside the solenoid so that the coil is in the field produced by the solenoid. Find the emf induced in the coil if the current through the solenoid reverses its direction in 0.04 sec.

A 200 turn circular coil of radius 2 cm is placed co-axially within a long solenoid of 3 cm radius. If the turn density of the solenoid is 90 turns per cm, then calculate mutual inductance of the coil and the solenoid.

The solenoids S₁ and S₂ are wound on an iron-core of relative permeability 900. The area of their cross-section and their length are the same and are 4 cm² and 0.04 m, respectively. If the number of turns in S₁ is 200 and that in S₂ is 800, calculate the mutual inductance between the coils. The current in solenoid 1 is increased from 2A to 8A in 0.04 second. Calculate the induced emf in solenoid 2.

For light incident from air on a slab of refractive index 2, the maximum possible angle of refraction is ______.

If the velocity and wavelength of light in air is V_a and λ_a and that in water is V_a and λ_w, then the refractive index of water is ______.

When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index.

An air bubble in a glass slab of refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness of the slab is ______.

Describe Fizeau’s method to determine the speed of light.

A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

In J.J. Thomson e/m experiment, a beam of electron is replaced by that of muons (particle with same charge as that of electrons but mass 208 times that of electrons). No deflection condition is achieved only if

The ratio of the wavelengths for the transition from n =2 to n = 1 in Li⁺⁺, He⁺ and H is ______.