Does the clipping of nails nullify ablution?
No, it does not, and it is preferable to wash the hands afterwards.
Is the `Iddah (waiting period) of the divorced effective from the time the divorce took place, or from the time of registering it at the court?
It is considered effective from the very moment her divorce took place, but not from the time of registering it at the court. And Allah Knows Best.
A person bought a device through a usurious bank, and receives income from it every month after paying the bank for the price. Now the person regrets it, what should he do now?
This person has fallen into what is forbidden due to dealing with usury. He must repent sincerely, and whoever repents, Allah Will Accept their repentance. As for the device, there is no need to sell it. And Allah Knows Best
How should I be kind to my atheist father?
Allah, The Exalted, has decreed and ordained his slaves to be kind with parents, even if they are polytheists, by honoring and obeying them in all that isn`t sinful, so that they might love Islam and embrace it as a result.