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The ratio of gravitational mass to inert...

The ratio of gravitational mass to inertial mass is equal to:

A

`(1)/(2)`

B

2

C

1

D

None of these

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The correct Answer is:
To solve the question regarding the ratio of gravitational mass to inertial mass, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - **Gravitational Mass (m_g)**: This is the mass that determines the strength of an object's interaction with the gravitational field. It is measured through the gravitational force acting on the object. - **Inertial Mass (m_i)**: This is the mass that determines an object's resistance to acceleration when a force is applied. It is measured by observing how much an object accelerates when a known force is applied. 2. **Establish the Relationship**: - According to the principles of physics, particularly Newton's laws, gravitational mass and inertial mass are found to be equivalent. This means that the gravitational mass of an object is equal to its inertial mass. 3. **Set Up the Ratio**: - The ratio of gravitational mass to inertial mass can be expressed mathematically as: \[ \text{Ratio} = \frac{m_g}{m_i} \] 4. **Substitute the Relationship**: - Since we have established that \( m_g = m_i \), we can substitute this into the ratio: \[ \text{Ratio} = \frac{m_g}{m_g} = 1 \] 5. **Conclusion**: - Therefore, the ratio of gravitational mass to inertial mass is equal to 1. ### Final Answer: The ratio of gravitational mass to inertial mass is **1**. ---

To solve the question regarding the ratio of gravitational mass to inertial mass, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - **Gravitational Mass (m_g)**: This is the mass that determines the strength of an object's interaction with the gravitational field. It is measured through the gravitational force acting on the object. - **Inertial Mass (m_i)**: This is the mass that determines an object's resistance to acceleration when a force is applied. It is measured by observing how much an object accelerates when a known force is applied. ...
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Knowledge Check

  • The mass of moon 1% of mass of earth. The ratio of gravitational pull of earth on moon and that of moon on earth will be

    A
    `1:1`
    B
    `1:10`
    C
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    D
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  • If M is the mass of the earth and R its radius, then ratio of the gravitational acceleration and the gravitational constant is

    A
    `(R_(E)^(2))/(M_(E))`
    B
    `(M_(E))/(R_(E)^(2))`
    C
    `M_(E)R_(E)^(2)`
    D
    `(M_(E))/(R_(E))`
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