Comparison Between Inertial & Gravitational Mass | Notes, Important Questions & Answers, MCQS, Quiz

Introduction

Understanding the difference between inertial mass and gravitational mass is crucial for students preparing for JEE, NEET, and CBSE Class 11 Physics exams. This topic is fundamental in Newtonian Mechanics and helps in solving problems related to motion and gravitation.

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๐Ÿ“Œ Comparison Between Inertial and Gravitational Mass

Q1: What is Inertial Mass?

โœ… Answer: Inertial mass is the resistance a body offers to a change in its state of motion when a force is applied. It is measured using Newtonโ€™s Second Law of Motion (F=ma).

Q2: What is Gravitational Mass?

โœ… Answer: Gravitational mass determines the gravitational force exerted by or experienced by a body. It is measured using Newtonโ€™s Law of Gravitation (F = GMm/R2).

๐Ÿ“Œ Key Differences Between Inertial and Gravitational Mass

PropertyInertial MassGravitational Mass
DefinitionResistance to motion changeAbility to attract or be attracted by gravity
Measurement MethodUsing Newtonโ€™s Second Law (F=ma)Using Newtonโ€™s Law of Gravitation (F = GMm/R2)
UnitKilogram (kg)Kilogram (kg)
Depends onApplied forceGravitational attraction
Measuring InstrumentInertial balanceSpring balance

๐Ÿ“Œ Comparison Between Mass and Weight

Q3: What is the Difference Between Mass and Weight?

โœ… Answer:

Mass (m)Weight (W)
Mass is the quantity of matter in a body.Weight is the force due to gravity acting on a body.
Independent of gravitational acceleration (g).Varies with gravitational acceleration (g).
SI Unit: Kilogram (kg).SI Unit: Newton (N).
Scalar quantity.Vector quantity.
Measured using a physical balance.Measured using a spring balance.

๐Ÿ“Œ Multiple-Choice Questions (MCQs) with Answers

Q1: Inertial mass of a body is determined by:

๐Ÿ”˜ (A) Newtonโ€™s Law of Gravitation
๐Ÿ”˜ (B) Newtonโ€™s Second Law of Motion
๐Ÿ”˜ (C) Keplerโ€™s Laws
๐Ÿ”˜ (D) None of these

โœ… Correct Answer: (B) Newtonโ€™s Second Law of Motion
๐Ÿ’ก Explanation: Inertial mass is determined by the equation F=maF = maF=ma, which comes from Newtonโ€™s Second Law of Motion.

Q2: The weight of an object is maximum at:

๐Ÿ”˜ (A) Equator
๐Ÿ”˜ (B) Poles
๐Ÿ”˜ (C) Center of the Earth
๐Ÿ”˜ (D) In Space

โœ… Correct Answer: (B) Poles
๐Ÿ’ก Explanation: The value of ggg is highest at the poles, so weight is maximum there.

Q3: Which instrument is used to measure gravitational mass?

๐Ÿ”˜ (A) Physical balance
๐Ÿ”˜ (B) Inertial balance
๐Ÿ”˜ (C) Spring balance
๐Ÿ”˜ (D) Beam balance

โœ… Correct Answer: (C) Spring balance
๐Ÿ’ก Explanation: Spring balance measures weight, which depends on gravitational mass.


๐Ÿ“Œ FAQs on Inertial and Gravitational Mass

Q1: Is inertial mass always equal to gravitational mass?

โœ… Answer: Yes, in all experiments conducted so far, inertial mass has been found to be equal to gravitational mass. This is a key assumption in Einsteinโ€™s General Theory of Relativity.

Q2: Can weight be zero?

โœ… Answer: Yes, at infinity (far away from any gravitational source) and at the center of the Earth, weight becomes zero because g=0g = 0g=0.

Q3: Why does an astronaut feel weightless in space?

โœ… Answer: In space, an astronaut is in free fall, experiencing zero net force, which creates a sensation of weightlessness.


Test Your Knowledge

Physics Quiz: Inertial vs Gravitational Mass

๐Ÿ“Œ Conclusion

Understanding the differences between inertial and gravitational mass, as well as mass vs weight, is essential for competitive exams like JEE and NEET. For in-depth study material, buy complete notes from Anand Classes.


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