Question

9.
What is meant by gravitaitonal potential? Write its SI unit and dimensional formula

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Answer 1

Answer- The above question is from the chapter 'Gravitation'.

Given question: What is meant by gravitational potential? Write its SI unit and dimensional formula.

Answer: Gravitational Potential at a point in a body's gravitational field is the amount of work done that brings a body of unit mass from infinity to the required point without any acceleration.

It is usually denoted by V.

Let W be the amount of work done that brings a body of mass m₀ from infinity to a point A in its gravitational field without any acceleration.

⇒ Gravitational Potential at A will be given by $\frac{W}{m_{o}}$ .

S.I. units:-

$V = \dfrac{W}{m_{o}}$

$V = \dfrac{Joule}{Kg}$

V = Joule/Kg

So, S.I. unit of Gravitational Potential = Joule/Kg.

Dimensional Formula:-

$V = \dfrac{W}{m_{o}}$

$V = \dfrac{ML^2T^-^2}{M}$

V = L²T⁻²

So, dimensional formula of Gravitational Potential = L²T⁻² .

Answer 2

Answer- The above question is from the chapter 'Gravitation'.

Given question: What is meant by gravitational potential? Write its SI unit and dimensional formula.

Answer: Gravitational Potential at a point in a body's gravitational field is the amount of work done that brings a body of unit mass from infinity to the required point without any acceleration.

It is usually denoted by V.

Let W be the amount of work done that brings a body of mass m₀ from infinity to a point A in its gravitational field without any acceleration.

⇒ Gravitational Potential at A will be given by \frac{W}{m_{o}}

m

o

W

.

S.I. units:-

V = \dfrac{W}{m_{o}}V=

m

o

W

V = \dfrac{Joule}{Kg}V=

Kg

Joule

V = Joule/Kg

So, S.I. unit of Gravitational Potential = Joule/Kg.

Dimensional Formula:-

V = \dfrac{W}{m_{o}}V=

m

o

W

V = \dfrac{ML^2T^-^2}{M}

V = L²T⁻²

So, dimensional formula of Gravitational Potential = L²T⁻² .