T/T/S Time Table

10:10 - 11:40 ---> Electric Field
11:50 - 13:20 ---> Vectors
15:10 - 16:40 ---> Equilibrium of Forces
18:30 - 20:00 ---> Capacitors

Topics to be taught in the first lecture on Coulomb's Law

1)        Quantisation of Charge

2)        Properties of force between two point charges

3)        Coulomb’s Law for point charges

4)        Value of Coulomb’s constant

5)        Permittivity of free space

6)        Relative permittivity and Dielectric Constant

7)        Force between two charges in another medium

8)        Place where a third charge experiences no force due to two              
     charges.

9)        Principle of Superposition of Forces.

10)       Coulomb’s Law in Vector Form.

Topics to be taught in the first lecture on Gauss Law

1)       Concept of Area as a vector

2)       Plane Area as a vector

3)       Irregular Area as a vector

4)       Number of electric lines of force and flux

5)       Positive and negative flux

6)       Formula to calculate electric flux through any plane surface

7)       Formula to calculate electric flux through any curved surface

8)       To calculate flux due to constant Electric Field

9)       To calculate flux due to variable magnetic field

10)       Gauss law and flux

11)       Properties of the electric field calculated due to gauss law.

12)       Properties of the charge appearing in gauss law.

13)       Proof of Gauss Law and tips for choosing Gaussian surface.

Topics to be taught in the first lecture on Newton's Law of Motion

1)  Newton’s first law of motion.

2)  Newton’s second law of motion.

3)  Way to solve simple problems of blocks.

4)  Blocks connected with a string and kept on a horizontal surface.

5)  Blocks connected with a string and moving vertically upwards.

6)  Block kept on an inclined plane

7)  Blocks connected with a string and moving on an inclined plane.

8)  Blocks kept on a double inclined plane and connected with a string.

9)  Constraints

a.     Constraints for strings.

b.    Constraints for objects in contact with each other.

Kinematics(Motion in a straight line with constant acceleration)(Problems)

1). A car travels the first half of a distance between two places at a speed of 30km/hr and second half of the distance at 50 km/hr. Find average speed of the car for the whole journey.

2). A motor car moving with a uniform speed of 20 m/s comes to a stop on the application of brakes after travelling a distance of 10 m. Find the acceleration of the car.

3). A body travels for 15 sec starting from rest with constant acceleration. If it travels distances S₁, S₂ and S₃ in the first 5 seconds, second 5 seconds and the third 5 seconds respectively, then find S₁:S₂:S₃.

4). The relation 3t=sqrt(3x) + 6 describes the displacement of a particle in one direction. Find the displacement of the particle when its velocity is zero.

5). A particle is moving eastwards with velocity of 5 m/s. In 10 sec, the velocity changes to 5 m/s northwards. Find the average acceleration.

Kinematics(Motion in a straight line with constant acceleration)(Problems)

1). The position of a particle along the x-axis is given by 9.75+1.5t³. Find:

(          a)    Average velocity between t=2 and t=3 seconds.

           b)   Instantaneous velocity at t=2 seconds.

           c)    Instantaneous velocity at t=2.5 seconds.

2). A motorcyclist moving with uniform retardation takes 10 sec and 20 sec respectively to travel
     successive quarter km. How much further will he travel before coming to rest?

3). A point moving in a straight line traversed half the distance with a velocity v₀. The remaining part of the
     distance was covered with velocity v₁ for half the time, and with velocity v₂ for the other half of the
     time. Find the mean velocity of the point averaged over the whole time of motion.
4).At the instant a traffic light turns green, a car starts with a constant acceleration of 2.2 m/s². At the same
    instant a truck, travelling with a constant speed of 9.5 m/s² overtakes and passes the car.
    (a) How far beyond the starting point will the car overtake the truck?

    (b) How fast will the car be travelling at the instant?

5).A train is crossing an observer standing on a platform. The first compartment of the train takes 2 sec to
    cross the observer while the second compartment of the train takes 2.5 sec to cross him. The train is
    moving with uniform acceleration. Find

    (a) Velocity of the train when the front of the first compartment crosses the observer.

    (b) The acceleration of the train

    (The length of each compartment is 15 m.)

Kinematics(Basic Definitions)(Numericals 6 to 9)

6).  A particle moves in a circle of radius R=21/22 m with constant speed 1 m/s. Find:
     (a) Magnitude of average velocity in 2 seconds
     (b) Magnitude of average acceleration in 2 seconds

7).  A particle is moving in x-y plane. At time t=0, particle is at (1,2) and has velocity 4i+6j. At t=4, particle reaches (6,4) and has velocity 2i+10j. In the given time interval, find,
     (a) Average velocity
     (b) Average Acceleration

8).  A particle is moving in a circle of radius 4 cm with constant speed of 1cm/s. Find:
     (a) Time period of the particle
     (b) Average speed of the particle in time t=0 to t=1 sec.
     (c) Average velocity of the particle in time t=0 to t=1 sec.
     (d) Average acceleration of the particle in time t=0 to t=1 sec.

9). A particle moves in a straight line with a constant speed of 4m/s for 2seconds, then with 6 m/s for 3 seconds. Find the average speed of the particle in the given time interval.