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Chapter 9: Problem 27

The ratio of the inertial mass to gravitational mass is equal to (a) \(1 / 2\) (b) 1 (c) 2 (d) No fixed number

Short Answer

Expert verified
The correct answer is (b) 1. This is because of the principle of equivalence, which asserts that inertial and gravitational masses are essentially the same, meaning that their ratio is always 1.

Step by step solution

01

Understanding the Principles of Equivalence

The principle of equivalence, as put forward in general relativity, states that inertial and gravitational masses are indistinguishable. This suggests that an object's resistance to change in its state of motion (inertial mass) is identical to the degree to which it interacts with the gravitational field (gravitational mass).
02

The Ratio of Inertial Mass to Gravitational Mass

In accordance with the principle of equivalence, the ratio of inertial mass to gravitational mass is 1. This is because both masses represent the same physical property seen in two different contexts. So, for any body, regardless of its size, shape, or position, this ratio remains constant and equal to 1.
03

Answer Confirmation

The ratio of the inertial mass to gravitational mass is equal to 1. This is in line with the principle of equivalence between inertial and gravitational masses, a key concept in physics.

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Most popular questions from this chapter

A projectile is projected with velocity \(k v_{e}\) in vertically upward direction from the ground into the space. \(\left(v_{e}\right.\) is escape velocity and \(k<1\) ). If air resistance is considered to be negligible then the maximum height from the centre of earth to which it can go, will be \((R=\) radius of earth) [Roorkee 1999; RPE (a) \(\frac{R}{k^{2}+1}\) (b) \(\frac{R}{k^{2}-1}\) (c) \(\frac{R}{1-k^{2}}\) (d) \(\frac{R}{k+1}\)

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