Question

The mass and weight both of a body becomes zero at the centre of the earth.

• A. True
• B. False

Answer 1

The correct option is B False

Mass:

1. Mass is the quantity of matter contained in a body.
2. Its SI unit is the kilogram $\left(kg\right).$
3. Mass is the fundamental property of a material body as it remains constant everywhere.
4. So, it is the same in every place even at the centre of the earth.
5. At the centre of the earth, the mass of a body is not zero.

Weight:

1. Weight of a body on the earth is the force with which the earth attracts a body.
2. The formula for the weight is $W=m\times g$, where $W,mandg$are weight, mass and acceleration due to gravity respectively.
3. At the centre of the earth, the given mass is pulled equally towards the centre from all directions, making the body stationary, which means no acceleration.

So, $g=0$

$$\begin{gathered} W=m\times g \\ W=m\times 0 \\ W=0 \end{gathered}$$

Thus, the mass remains constant and weight becomes zero at the centre of the earth.

Hence, the given statement is false