I have been to UK in the year 2001 on work permit visa for a period of 14 months,unfortunately after 11 months of my visa expiry,my case is refused and did not get the extension from home office stating your employer did not paid the proper tax,soon I came to my home country.

Recently I Lost my passport and I have applied for a new passport and I submitted all the relevant documents like police certificate etc,
Passport office has issued me a brand new visa and I don' t have the lost passport copy which I travelled to UK.
Now my wife has got UK student visa for 18 months.
My Question is
1)Can I apply for student dependent visa on this brand new passport and
2)How the British consulate checks the previous applicant details Iam asking this question because in my new passport there is no proof of UK travelled like passport number different,file number different and in observation page passport officials did not written any proof of UK travelled.

I have been to UK in the year 2001 on work permit visa for a period of 14 months,unfortunately after 11 months of my visa expiry,my case is refused and did not get the extension from home office stating your employer did not paid the proper tax,soon i came to my home country.

Recently i Lost my passport and I have applied for a new passport and i submitted all the relevant documents like police certificate etc,
passport office has issued me a brand new visa and i don' t have the lost passport copy which i travelled to UK.
Now my wife has got UK student visa for 18 months.
my Question is
1)Can I apply for student dependent visa on this brand new passport and
2)How the British consulate checks the previous applicant details Iam asking this question because in my new passport there is no proof of UK travelled like passport number different,file number different and in observation page passport officials did not written any proof of UK travelled.

If you overstayed, they have record of it. While often the passport number is what is used to validate entry clearance, it will also be cross referenced by name and nationality. Obviously this is important as otherwise it would be easy for someone who meant to cause harm to simply leave, get a new passport, and return as if on holiday. I'd check with the British Consulate in your area... you don't have to give your name, just a quick phone call, explain the situation and see what they say.