If density of earth increased times and its radius becomes half of what it is then our weight will be,
doubled
Step 1: Given Data
Step 2: Formula used,
Since we know that our weight is a pull force acting on us by the earth is given by
,
Where is the mass
And is the acceleration due to gravity.
Here, we have used the terms,
- Gravitational constant,
- Radius of the earth,
- is the density,
- is the volume of the earth,
- acceleration due to gravity before variation,
- acceleration due to gravity after changing the densities and radius,
Acceleration due to gravity is given by
The mass and density relation,
Mass = density x volume
=
Therefore,
Step 3: Calculate the weight if ,
From the above equation, it can be seen that
Substitute the value of in the above equation,
Multiply both sides by m, and we get,
Therefore the weight is doubled.
Hence, the correct option is B.