Question

if the height of an object being dropped is doubled, its gravitational pe will
become half
remain same
become four times
double

Explanation:

Step1: Recall Gravitational PE formula

The formula for gravitational potential energy (PE) is $PE = mgh$, where $m$ is mass, $g$ is acceleration due to gravity, and $h$ is height.

Step2: Analyze effect of doubling height

Let initial height be $h_1 = h$, so initial $PE_1 = mgh$. If height is doubled, new height $h_2 = 2h$. New $PE_2 = mg(2h) = 2mgh$.

Step3: Compare $PE_1$ and $PE_2$

Since $PE_2 = 2 \times PE_1$, doubling the height doubles the gravitational PE.

Answer:

Double (corresponding to the green option with "Double")