A ball is attached to a string and whirled around at a constant speed in a horizontal circle having a radius r$.$ If the radius of the circle is changed to $4$r and the same centripetal acceleration is applied by the string, the new speed of the ball is$$

a$.$

the same as the original speed

b$.$

twice the original speed

c$.$

$1/4$ the original speed

d$.$

four times the original speed

e$.$

$1/2$ the original speedA ball is attached to a string and whirled around at a constant speed in a horizontal circle having a radius r$.$ If the radius of the circle is changed to $4$r and the same centripetal acceleration is applied by the string, the new speed of the ball is$$

a$.$

the same as the original speed

b$.$

twice the original speed

c$.$

$1/4$ the original speed

d$.$

four times the original speed

e$.$

$1/2$ the original speed