If the distance between two masses is doubled, the gravitational attraction between them

The correct option is Is reduced to a quarter (written as "Is reduced to a quarte" in the options).

To understand why this happens, we can use Newton's Law of Universal Gravitation, which describes the gravitational force between two objects.

The formula for the gravitational force ($F$) between two masses $m_1$ and $m_2$ separated by a distance $r$ is given by:

$F=G\frac{m_1{m}_2}{r^2}$

where $G$ is the universal gravitational constant.

From this formula, we can see that the gravitational force is inversely proportional to the square of the distance between the centers of the two masses:

$F\propto \frac{1}{r^2}$

Let the initial gravitational force at distance $r$ be $F_1$. When the distance between the masses is doubled, the new distance $r_2$ is:

$r_2=2r$

Substituting this new distance into the relation, the new gravitational force $F_2$ becomes:

$F_2\propto \frac{1}{{\left(2r\right)}^2}$

$F_2\propto \frac{1}{4r^2}$

This can be rewritten in terms of the initial force $F_1$ as:

$F_2=\frac{1}{4}{F}_1$

Thus, doubling the distance between the two masses reduces the gravitational attraction to one-fourth (a quarter) of its original strength.