Explanation

In circular motion, the centripetal force  𝐹 required to keep an object moving in a circular path is given by the formula:

𝐹= 𝑚 𝑣^2/ 𝑟

Where:

m is the mass of the object,

v is the velocity of the object,

r is the radius of the circular path.

If the velocity v is doubled, the centripetal force becomes:

F ′ =  m(2v) ^2/r = 4mv ^2/r =4F

This means that if the velocity is doubled, the force will be four times the original, not twice or half the original.

Therefore, neither of the options provided is correct.