For the potential , determine the number of bound states? a)6 b)4 c) 3 d) 1

Do you see that blank, open space after the word "potential ..." ?

There's supposed to be a number there that actually tells us the value of the potential.  Without that number ... and a lot more description of the whole scenario here ... there's no possible answer to the question.

volts times amps 6 x 0.5 3w

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach