What counts is the wudhu after Fajr! If The second time you put on your
socks you were in the state of wudhu from fajr, this is sufficient and you can wipe. If not, due to answering the call of nature while having ghusul or before that, you can’t wipe on your socks.

If I do Wudoo for Fajr on a Friday, and then wear my socks, after I’ve prayed I take off my socks and do obligatory Ghusl only (only washing mouth nose and body once as I already have Wudoo) and put the same socks back on after, is it permissible for me to wipe over these later for example when redoing Wudoo for Jum’uah.

Ablution (Wudhu) | November 22, 2016 3:28 am
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My question is regarding wudu. If the beard is thick at the chin does one have to wash the outer layer of the part of the beard that is below the chin and extends to the top of the neck? I don’t know if it would be part of the face in wudu. If this is obligatory to do then what about the wudu’s which I have done earlier in which I did not wash this part? Would it be valid?
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In wudu, is it enough to just wet my hands and pass it from my front head to back head once without coming back to front head again? What about the sides of the head sir? And should the water reach the roots of hair or is it enough to just pass from over the hair, I mean just surface of head.