Which of the following statements is correct about the value of acceleration due to gravity, 'g'?

The value of 'g' represents the acceleration due to gravity on the earth. The value of 'g' on the earth is calculated as follows:

We know that the gravitational force exerted on an object on the earth can be given by:
$\mathrm{F}=\frac{\mathrm{GMm}}{{\mathrm{R}}^2}$ where M is the mass of the earth, m is the mass of the object and R is the distance of the object from the center of the earth.

According to Newton's second law of motion, the force exerted on the object by the earth can also be given by:
$\mathrm{F}=\mathrm{mg}$   where g is the acceleration of the object caused due to the gravitational force exerted by the earth.

By equating both the equation, we can get,
$\mathrm{mg}=\frac{\mathrm{GMm}}{{\mathrm{R}}^2}$

Therefore, we can get the formula for 'g' as:
$\mathrm{g}=\frac{\mathrm{GM}}{{\mathrm{R}}^2}$

As, we can see the value of 'g' depends on the mass of the earth and the distance of the object from the center of the earth, we can say that the value of g will be different if the distance of the object is different.
since all the objects on or near the surface of the earth will have more or less the same distance from the center of the earth, the value of 'g' will be the same for all the objects on the earth.

However, if the object is placed outside the earth, its distance from the earth will be significantly different and higher. Therefore, we can the value of 'g' will be significantly less. Hence, we can conclude that the value of g outside the earth will not be equal to the value of g on the equator.

Hence option B will be the correct answer.