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The value of universal gravitational con...

The value of universal gravitational constant G depends upon :

A

Nature of material of two bodies

B

Heat constant of two bodies

C

Acceleration of two bodies

D

None of these

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The correct Answer is:
To determine what the universal gravitational constant \( G \) depends upon, let's analyze the options provided and the nature of \( G \). ### Step-by-Step Solution: 1. **Understanding the Universal Gravitational Constant \( G \)**: - The universal gravitational constant \( G \) is a fundamental physical constant that appears in Newton's law of universal gravitation. It quantifies the strength of the gravitational force between two masses. 2. **Newton's Law of Gravitation**: - According to Newton's law, the gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( r \) is given by: \[ F = \frac{G m_1 m_2}{r^2} \] - Here, \( G \) is the proportionality constant that makes the equation dimensionally consistent and correct. 3. **Analyzing the Options**: - The question provides several options regarding what \( G \) depends upon: - A) Nature of material of the two bodies - B) Heat constant of the two bodies - C) Acceleration of the two bodies - D) None of these 4. **Evaluating Each Option**: - **Option A**: The nature of the material of the two bodies does not affect \( G \). It is a constant regardless of the materials involved. - **Option B**: The heat constant of the two bodies is not relevant to the value of \( G \). - **Option C**: The acceleration of the two bodies does not influence the value of \( G \). - **Option D**: Since \( G \) is a universal constant, it does not depend on any of the factors mentioned in the other options. 5. **Conclusion**: - Since \( G \) is a universal constant, the correct answer is: \[ \text{D) None of these} \]
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Knowledge Check

  • The value of universal gravitational constant G=6.67xx10^(-11)Nm^(2)kg^(-2) . The value of G in units of g^(-1)cm^(3)s^(-2) is

    A
    `6.67xx10^(-8)`
    B
    `6.67xx10^(-7)`
    C
    `6.67xx10^(-9)`
    D
    `6.67xx10^(-10)`
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