Study guide H C Verma JEE Physics Ch. 11 GRAVITATION

JEE syllabus

Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
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Sections in H C Verma

1. Historical Introduction
2. Measurement of Gravitational Constant G
3. Gravitational Potential Energy
4. Gravitational Potential
5. Calculation of Gravitational Potential
6. Gravitational Field
7. Relation between Gravitational Potential and Field
8. Calculation of Gravitational Field
9. Variation in the Value of G
10.Planets and Satellites
11.Kepler's laws
12.Weightlessness in a Satellite
13. Escape Velocity
14. Gravitational Binding Energy
15. Blackholes
16. Inertial and Gravitational Mass
17. Possible Changes in the Law of Gravitation
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Study Plan


Day 1

1. Historical Introduction
Ex. 11.1

Day 2
2. Measurement of Gravitational Constant G
3. Gravitational Potential Energy
Ex. 11.2
4. Gravitational Potential

Day 3
5. Calculation of Gravitational Potential
Ex. 11.3
Worked Out Examples: 1,2


Day 4

6. Gravitational Field
Ex. 11.4
7. Relation between Gravitational Potential and Field
Ex. 11.5
WOE 3,4

Day 5
8. Calculation of Gravitational Field
Ex. 11.6, and 7
WOE 5,6

Day 6
9. Variation in the Value of G
Ex. 11.8
10.Planets and Satellites
11.9
11.Kepler's laws
12.Weightlessness in a Satellite

Day 7
13. Escape Velocity
Ex. 11.10
14. Gravitational Binding Energy
15. Blackholes

Day 8

16. Inertial and Gravitational Mass
17. Possible Changes in the Law of Gravitation
WOE 7 to 9

Day 9
WOE 10 to 13
Exercises 1 to 5

Day 10
Exercises 6 to 15

Day 11
Exercises 16 to 20

Day 12
Exercises 21 to 25

Day 13
Exercises 26 to 30

Day 14
Exercises 31 to 35

Day 15
Exercises 36 to 39

Day 16
Objective I

Day 17
Objectve II
Questions for Short Answer 1 to 5

Day 18
Questions for Short Answer 6 to 10

Day 19
Questions for Short Answer 11 to 15

Day 20
Questions for Short Answer 16 to 19






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Law of gravitation

Eq (11.1) oin H C Verma

F = GMm/r²

The above equation is known as the universal law of gravitation

G = 6.67*10^-11 N-m² /kg²

Gravitational potential and field

Gravitational potential at a point is equal to the change in potential energy per unit mass, as the mass is brought from the reference point to the given point.

Gravitational field: It is assumed that a body say A, creates a gravitational field in the space around it. The field has its own existence and has energy and momentum. When another body B is placed in gravitational field of a body, this field exerts a force on it. The direction and intensity of the field is defined in terms of the force it exerts on a body placed in it.

The intensity of gravitational field vector E at a point is defined by the equation

vector E = force vector F/mass

where F is the force vector exerted by the field on a body of mass m placed in the field. The intensity of gravitational field is abbreviated as gravitational field. Its SI unit is N/kg.

By the way they are defined, intensity of gravitational field and acceleration due to gravity have equal magnitudes and directions, but they are two separate physical quantities.

Obtaining gravitational potential from gravitational field: If intensity of gravitational field E is defined in term of r the distance from the body exerting the gravitational force, its potential can be obtained by integrating e with respect to r ( ∫Edr).

If the potential is known, then its partial derivatives with respect to x, y, and z can be taken and they can be combined to get E, the intensity of gravitation field.

E = iEx + jEy + kEz









http://plasma4.sr.unh.edu/ng/phys407/phys407-7-27-05.pdf