Is a person held accountable for hearing words of disbelief in documentaries or foreign cartoons, such as "wrath of nature" or swearing by other than Allah, while denying that in their heart, and is it permissible to follow such programs?

It is not permissible to say or write "the wrath of nature" as it implies that nature acts upon the universe. It is forbidden to swear by other than Allah, and to follow movies that contain disbelief or violations of Islamic law. Disapproving in one's heart is not enough; rather, it is obligatory to reject them and not watch or listen to them, based on the Almighty's saying: "And He has already revealed to you in the Book that when you hear the verses of Allah being denied and ridiculed, do not sit with them until they engage in another conversation. Indeed, in that case, you would be like them." This is because doing so implies approval or contentment with them.