To analyze the effects of the given changes, we need to consider how the gravitational force and acceleration due to gravity are affected.$\\$The gravitational force $F$ between two masses $m_1$ and $m_2$ is given by:$\\ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \\$where $G$ is the universal gravitational constant, and $r$ is the distance between the masses.$\\$The acceleration due to gravity $g$ on the surface of the Earth is given by:$\\ g = \frac{G \cdot M}{R^2} \\$where $M$ is the mass of the Earth, and $R$ is the radius of the Earth.$\\$If the mass of the Sun were ten times smaller, it would not directly affect $g$ on the Earth,$\\$since $g$ depends on the mass of the Earth, not the Sun.$\\$If $G$ were ten times larger, $g$ would become ten times larger, since:$\\ g' = \frac{10G \cdot M}{R^2} = 10g \\$Now, let's evaluate each option:$\\$Option 1: Time period of a simple pendulum on the Earth would decrease.$\\$The time period $T$ of a simple pendulum is given by:$\\ T = 2\pi \sqrt{\frac{L}{g}} \\$If $g$ increases, $T$ decreases. Thus, this statement is correct.$\\$Option 2: Walking on the ground would become more difficult.$\\$With increased $g,$ the normal force increases, making walking more difficult.$\\$Thus, this statement is correct.$\\$Option 3: Raindrops will fall faster.$\\$With increased $g,$ the acceleration of raindrops increases, making them fall faster.$\\$Thus, this statement is correct.$\\$Option 4: ‘g’ on the Earth will not change.$\\$This is incorrect because $g$ would increase tenfold due to the increase in $G. \\$Therefore, the statement that is not correct is Option 4.