If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by A. g1 B. g2 C. $$\frac{{{{\text{g}}_1}}}{{{{\text{g}}_2}}}$$ D. $$\frac{{{{\text{g}}_2}}}{{{{\text{g}}_1}}}$$

The correct answer is $\boxed{\frac{{{{\text{g}}_2}}}{{{{\text{g}}_1}}}}$.

The weight of an object is the force of gravity acting on it. The force of gravity is proportional to the mass of the object and the acceleration due to gravity. The acceleration due to gravity is the rate at which an object accelerates due to the force of gravity.

The acceleration due to gravity is not the same everywhere on Earth. It is slightly stronger at the poles than at the equator. It is also slightly stronger at higher altitudes.

If an object is transported from a mountain with a higher acceleration due to gravity to a mountain with a lower acceleration due to gravity, its weight will decrease. This is because the force of gravity is weaker at the lower mountain.

The weight of an object is given by the equation $W = mg$, where $m$ is the mass of the object and $g$ is the acceleration due to gravity.

If $g_1$ is the acceleration due to gravity on mountain A and $g_2$ is the acceleration due to gravity on mountain B, then the weight of the object on mountain A is $W_1 = m g_1$ and the weight of the object on mountain B is $W_2 = m g_2$.

The ratio of the weights of the object on the two mountains is therefore $\frac{W_2}{W_1} = \frac{m g_2}{m g_1} = \frac{g_2}{g_1}$.

Therefore, the weight of a body when transported from A to B will be multiplied by $\frac{{{{\text{g}}_2}}}{{{{\text{g}}_1}}}$.