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The value of universal gravitational con...

The value of universal gravitational constant `G = 6.67 xx 10^(-11) N m^(2) kg^(-2)`. The value of G in units of `g^(-1) cm (^(3)s^(-2)` is

A

`6.67 xx 10^(-8)`

B

`6.67 xx 10^(-7)`

C

`6.67 xx 10^(-9)`

D

`6.67 xx 10^(10)`

Text Solution

Verified by Experts

The correct Answer is:
A
`G= 6.67 xx 10^(-11)Nm^(2)kg^(-2)`
`= 6.67 xx 10^(-11) xx (kgms^(-2)) xx (m^(2)) xx (kg)^(-2)`
`= 6.67 xx 10^(-11) xx [(1000g) xx (100cm) xx s^(-2)] xx(100cm)^(2) xx (1000g)^(-2)`
`= 6.67 xx 10^(-11) xx 10^(5) xx10^(4) xx10^(-6)g^(-1)cm^(3)s^(-2)`
`= 6.67 xx 10^(-8) g^(-1)cm^(3)s^(-2)`
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If the value of universal gravitational constant is 6.67xx10^(11) Nm^2 kg^(-2), then find its value in CGS system.

What is the value of gravitational constant G=6.67xx10^(-11)Nm^(2)//kg^(2) in CGS units?

Knowledge Check

  • The value of universal gravitational constant 'G' is

    A
    `6.67 xx 10^(11) Nm^2 // Kg^2`
    B
    `6.67 xx 10^(-11) Nm^2 //Kg^2`
    C
    `6.67 xx 10^(18) Nm^2 // Kg^2`
    D
    `6.67 xx 10^(-18) Nm^2 // Kg^2`

  • 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)`

  • 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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    According to Newton's law of gravitational, everybody in this universe attracts every other body with a force, which is directly proportional to the product of their masses and is inversely proportional to the square of the distance between their centres, i.e., F prop (m_(1)m_(2))/(r^(2)) or F = (Gm_(1)m_(2))/(r^(2)) where G is universal gravitational constant = 6.67 xx 10^(-11) Nm^(2) kg^(-2) . (i) What is the value of G on the surface of moon? (ii) How is the gravitational force between two bodies affected when distance between them is halved? (iii) What values of like do you learn from this law?

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