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A : The gravitational force does not d...

A : The gravitational force does not depend on the intervening medium .
R : The value of G has same value anywhere in the space

A

If both Assertion & Reason are true . And the reason is the correct explanation of the assertion , then mark (1)

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2)

C

If Assertion is true statement but Reason is false , then mark (3)

D

It will move the same speed , tangentially to the spacecraft

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion (A) and the reason (R) provided: **Assertion (A)**: The gravitational force does not depend on the intervening medium. **Reason (R)**: The value of G has the same value anywhere in space. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the gravitational force between two masses is not influenced by any medium that may be present between them. This means that whether there is air, vacuum, or any other material in between, the gravitational attraction remains the same. 2. **Understanding the Reason**: - The reason provided states that the gravitational constant \( G \) is the same everywhere in space. This is a fundamental property of gravity. The value of \( G \) is approximately \( 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \) and it does not change regardless of location in the universe. 3. **Relating Assertion and Reason**: - The gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( r \) is given by the formula: \[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \] - In this formula, \( F \) depends on the masses \( m_1 \) and \( m_2 \) and the distance \( r \), but not on any medium. Therefore, the assertion is correct. 4. **Conclusion**: - Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that: - **Assertion (A) is true.** - **Reason (R) is true and is the correct explanation for (A).** ### Final Answer: Both the assertion and reason are true, and the reason is the correct explanation for the assertion. ---
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Knowledge Check

  • The gravitational force between two bodies does not depend upon

    A
    their separation
    B
    product of their masses
    C
    both 'a' and 'b'
    D
    media between two bodies
  • The value of G depends upon

    A
    the masses of bodies
    B
    the medium between the bodies
    C
    the temperature of bodies
    D
    system of units
  • The value of osmotic pressure does no depend on :

    A
    concentration of solution
    B
    van't Hoff factor
    C
    temperature
    D
    structure of solute particles
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