when habil killed kabil then how hazrat Adam's progeny moved on. i mean what is the concept of generations.

Qabil killed Habil. Habil had a son named Sheeth. Allah sent down a Hawra (woman of paradise) and her name was Na’imah. Sheeth (Seth) married her. They gave birth to a girl named Hurriyah.

Source: Gods Emissaries Adam to Jesus by Sheikh Rizwan Arastu Page 62

I can't remember which imam.
i heard in a lecture that one of our twelve imam's said ,. there will be two types of scholars , ulma e su and ulma e haqqa .
can you explain please

Sheikh Nuri al Tabarasi:

Imam Hassan al-Askari (as) said to Abi Hashim: "O Aba Hashim, a bad time will come upon the people. Their faces would be happily laughing, and their hearts dark and gloomy, the sunnah in them (would be) bidah, and the bidah in them (would be) sunnah.

The momin (believer) between them would be worthless, and the fasiq (sinner) between them honourable, their rulers would be ignorant oppressors, and their scholars (would be present) in doors of darkness, their rich would be looting the belongings of the poor, and their young ones would be stepping ahead of their old ones, and every ignorant near (for) them would be knowledgeable, and every imposter near them would be faqir, there wouldn't be any distinction between sincere and the skeptical (bad aqidah people), they won't recognize the sheep from the wolves.

Their scholars would be the evilest creatures upon the face of Earth, for indeed they would be inclined towards philosophy and Sufism, and by Allah (swt) indeed they're from people of ilhad (crossing boundaries/limits) and tahreef (distortion), doing exaggeration in love of our opponents, and misguiding our Shias and Mawalis.

If they're placed in an official position they won't be satiated with bribes, and if taken (power taken back) they would worship Allah (swt) upon showing off, indeed they would not be but robbers of the path of believers, and callers to be limit crossers/atheists, so whoever finds/comes across them so should protect themselves and safeguard their religion and faith".

Then (Imam) said: "O Aba Hashim, this is what I heard from my father (a.s), from his forefathers Ja'far b. Muhammad (a.s), and it's from our secrets, so hide it except from its capable."

Source : Mustadrak al-Wasa'il. Vol. 11, Pg. # 380

How many children's imam Ali a.s had? what are their names

The Commander of the Faithful, peace be on him, had twenty-seven children, male and female:
1. Al-Ḥasan
2. Al-Ḥusayn
3. Zaynab the elder
4. Zaynab the younger, who was given the kunya Umm Kulthūm.
Their mother was Fāṭima, the blessed, mistress of the women of the worlds, daughter of the master of those sent by Allāh and the seal of the prophets, the Prophet Muhammad.
5. Muḥammad, who was given the kunya Abū al-Qāsim. His mother was Khawla, daughter of Ja‘far b. Qays al-Ḥanafī.
6. ‘Umar
7. Ruqayya
They were twins. Their mother was Umm Ḥabīb, daughter of Rabī‘a.
8. Al-‘Abbās 9. Ja‘far
10. ‘Uthmān 11. ‘Abd Allāh
(The last four) were martyrs with their brother al-Ḥusayn on the plain of Karbalā’. Their mother was Umm al-Banīn1, daughter of Ḥizām b. Khālid b. Dārim.
12. Muḥammad, the younger, who was given the kunya Abū Bakr.
13. ‘Ubayd Allāh
Both of these were martyrs with their brother al-Ḥusayn on that plain. Their mother was Layla, daughter of Mas‘ūd al-Dārimī.
14. Yaḥyā
His mother was Asmā ̓, daughter of ‘Umays al-Khath‘amī, may Allāh be pleased with her.
15. Umm al-Ḥasan
16. Ramla
The mother of these two was Umm Sa‘īd, daughter of ‘Urwa b. Mas‘ūd al- Thaqafī.
17. Nafīsa
18. Zaynab, the youngest
19. Ruqayya, the younger
20. Umm Hānī ̓
21. Umm al-Kirām
22. Jumāna, who was given the kunya Umm Ja‘far. 23. Umāna
24. Umm Salama
25. Maymūna
26. Khadīja
27. Fāṭima
These, the blessings of Allāh be on them, had different mothers.
Among the Shī ̔a, there are those who mention that Fāṭima, the blessing of Allāh be on her, after the Prophet had a miscarriage with a son, whom the Prophet, may Allāh bless Him and His Family, had (already) named during her pregnancy as Muḥsin.2 According to this group there were twenty-eight children of the Commander of the Faithful, the blessing and peace of Allāh be on him. Allāh knows and judges best.

Kitab al Irshad Ch 8 by Sheikh al Mufid

I have an anxiety disorder and alhamdullilah im feeling better. With ramzan coming up I wanted to know the rulings regarding fastimg for someone in my state. I am also on medicataion and would like to know if i could take them in the middle of my fast. or If i suddenly feel a big burst of anxiety and i break my fast will it be considered a sin.

If it is necessary for you to take medication than you're not obligated to fast. If you will be off of this medication before next Ramadhan then you will do the Qadha of those days umyou missed, but if you will be continuously in need of this medication then you need to pay fidya of feeding one poor shia per day of the missed fasts.

I am a women and i study nursing but my friend told me that i cant study that because of my religion. I wash, touch(necessary) and help the people like a nurse do in the hospital. But is it permission to do that or no? Can i touch them with gloves and without wrong intentions?

Yes being a nurse is an honorable profession. When you touch men you can use gloves. If it’s necessary to save ones life then you can touch the male patients without gloves

So i can wash and touch but only with gloves on?

This is better when dealing with the opposite gender

I am a women and i study nursing but my friend told me that i cant study that because of my religion. I wash, touch(necessary) and help the people like a nurse do in the hospital. But is it permission to do that or no? Can i touch them with gloves and without wrong intentions?

Yes being a nurse is an honorable profession. When you touch men you can use gloves. If it’s necessary to save ones life then you can touch the male patients without gloves

So i can wash and touch but only with gloves on?

This is better when dealing with the opposite gender

There is a total eclipse happening in the US right now. is it incumbent on us in other parts of the world not experiencing an eclipse to perform salary ayah?

No it is only for those effected by it.

what is the ruling on fasting during Muharram

It is Makruh (discouraged) to fast on Ashura. https://www.imam-us.org/fasting-on-ashura/?utm_term=%5Cu2018Fasting%20on%20the%20Day%20of%20Ashura%5Cu2019&utm_campaign=Exclusive%20Content%20for%20Muharram%2C%201439%20A.H.&utm_content=email&utm_source=Act-On+Software&utm_medium=email&cm_mmc=Act-On%20Software-_-email-_-Exclusive%20Content%20for%20Muharram%2C%201439%20A.H.-_-%5Cu2018Fasting%20on%20the%20Day%20of%20Ashura%5Cu2019

Quran allows us to marry women from the Jews and the Christians. Are the conditions of Nikka the same as for a Shia Muslim woman?

It is not preferred to marry from the Jews and Christians as long as there are Muslim women to marry. Yes the Nikah is done the same.

I have read in forums online that the modern day Shia faith is distorted from the one espoused by classic scholars like Saduq, Mufid, etc. How can we explain the present day Shia faith and the difference from early Shia islam. Are some/most of our practices based on weak sources and fabrications and have we abandoned the Shia Islam as it was meant to be practiced for a one filled with Ghulluw and Bida?

Our Shia faith is preserved by our scholars from generation to generation.