Gravitation Class 11: MCQs Quiz for Key Concepts

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Questions and Answers

Which of the following correctly represents Newton's Law of Universal Gravitation?

F = m * v²

F = m * g * v²

F = m * g * r²

F = (G * m1 * m2) / r² (correct)

What is the gravitational field strength defined as?

Force per unit mass (correct)

Force per unit area

Force per unit velocity

Force per unit length

Which formula is used to calculate the gravitational potential energy (U) of an object at a height h from the ground?

U = m * g * h * v

U = m * v² / 2

U = m * g * h²

U = m * g * h (correct)

Kepler's First Law of Planetary Motion deals with:

The law of ellipses Signup and view all the answers

Escape velocity is defined as:

The speed required for an object to leave a planet's gravitational field Signup and view all the answers

What does Kepler's First Law of Planetary Motion state?

Planets move in elliptical orbits with the sun at one focus Signup and view all the answers

According to Kepler's Second Law of Planetary Motion, what does a line segment joining the sun and a planet do?

Sweeps out equal areas in equal time intervals Signup and view all the answers

In Kepler's Third Law of Planetary Motion, what is the relationship between the period of a planet's orbit and the semi-major axis?

The period is proportional to the square root of the semi-major axis Signup and view all the answers

Which formula represents the escape velocity (v_e) correctly?

v_e = √(2 * G * M / r) Signup and view all the answers

What is the escape velocity of an object from Earth's surface?

10,000 m/s Signup and view all the answers

What is the formula for calculating the gravitational potential energy of an object at a distance from the origin?

B) its mass times the gravitational field strength times the distance from the origin Signup and view all the answers

When an object is at the origin, what is the value of its gravitational potential energy?

D) zero Signup and view all the answers

What is the change in gravitational potential energy of an object as it moves from point A to point B?

B) negative Signup and view all the answers

What is the definition of escape velocity?

B) escape the gravitational influence of a massive object Signup and view all the answers

According to Kepler's first law of planetary motion, what type of orbits do planets move in?

B) elliptical orbits with the Sun at one focus Signup and view all the answers

What does Newton's Law of Universal Gravitation state?

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Signup and view all the answers

How is the gravitational field defined at a point?

The gravitational field at a point is defined as the force exerted on an object of unit mass at that point. Signup and view all the answers

What is the relationship between the mass of an object and its gravitational potential energy?

The gravitational potential energy of an object increases with its mass and the height above the reference point. Signup and view all the answers

Define escape velocity and its significance.

Escape velocity is the minimum velocity needed for an object to break free from the gravitational influence of a massive body. It is crucial for spacecraft to leave Earth's orbit or enter orbit around other celestial bodies. Signup and view all the answers

What do Kepler's Laws of Planetary Motion describe?

Kepler's Laws of Planetary Motion describe the motion and orbits of planets around the sun, providing fundamental principles governing celestial bodies' movements. Signup and view all the answers

Study Notes

Class 11th Gravitation Chapter: MCQs on Important Topics

Below, we explore important topics from the Class 11th Gravitation Chapter, covering the requested subtopics: Newton's Law of Universal Gravitation, Gravitational Field, Gravitational Potential Energy, Kepler's Laws of Planetary Motion, and Escape Velocity. You'll find a series of Multiple-Choice Questions (MCQs) that test your understanding of these concepts.

1. Newton's Law of Universal Gravitation

Which of the following is the mathematical formula for Newton's Law of Universal Gravitation?
- a) F = m * g * r²
- b) F = (G * m1 * m2) / r²
- c) F = m * v²
- d) F = m * g * v

2. Gravitational Field

What is the gravitational field strength (E) defined as?
- a) Force per unit mass
- b) Force per unit length
- c) Force per unit area
- d) Force per unit velocity
Which of the following is a unit used to represent gravitational field strength?
- a) N/kg
- b) m/s²
- c) J/kg m
- d) m²/s²

3. Gravitational Potential Energy

Which formula is used to compute the gravitational potential energy (U) of an object at a height h from the ground?
- a) U = m * g * h
- b) U = m * v² / 2
- c) U = m * g * h²
- d) U = m * g * h * v

4. Kepler's Laws of Planetary Motion

Which of the following describes Kepler's First Law of Planetary Motion?
- a) All planets orbit the sun in the same direction
- b) Planets move in elliptical orbits with the sun at one focus
- c) Planets move in a straight line
- d) Planets move in the same orbital period
Which of the following describes Kepler's Second Law of Planetary Motion?
- a) The distance from the sun to a planet remains constant
- b) A line segment joining the sun and a planet sweeps out equal areas in equal time intervals
- c) The time taken by a planet to orbit the sun increases as it goes farther from the sun
- d) The inclination of a planet's orbit changes over time
Which of the following describes Kepler's Third Law of Planetary Motion?
- a) The period of a planet's orbit is proportional to the square root of the semi-major axis
- b) The period of a planet's orbit is proportional to the cube root of the semi-major axis
- c) The period of a planet's orbit is proportional to the mass of the sun
- d) The period of a planet's orbit is proportional to the number of planets in the solar system

5. Escape Velocity

Which of the following is the formula for escape velocity (v_e)?
- a) v_e = √(2 * G * M / r)
- b) v_e = G * M / r²
- c) v_e = M * g
- d) v_e = M * v/r
What is the escape velocity of an object from Earth's surface?
- a) 1 m/s
- b) 10 km/s
- c) 30 m/s
- d) 10,000 m/s

Remember, the purpose of these MCQs is not to assess your ability to memorize facts, but to test your ability to apply and reason with the concepts you've learned. By working through these questions, you'll reinforce your understanding of these important gravitation concepts. Good luck!

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Description

Explore and test your knowledge on key concepts of the Class 11th Gravitation Chapter through a series of Multiple-Choice Questions (MCQs) covering Newton's Law of Universal Gravitation, Gravitational Field, Gravitational Potential Energy, Kepler's Laws of Planetary Motion, and Escape Velocity.

Class 11th Gravitation Chapter: MCQs on Important Topics

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