Yes, an affidavit should work to clarify the name difference between your 10th mark sheet (Priyanshu Yadav) and your 12th registration (Priyanshu Pushkar Yadav), as well as your Aadhar card. You can submit it during the JEE document verification process.

The affidavit should:

1. Be notarized to make it legally valid.

2. Clearly explain the name discrepancy and confirm that both names refer to the same person.

3. Mention the documents (your 10th mark sheet, 12th registration, and Aadhar card) for reference.

It’s a simple way to clear up the confusion, and it should be accepted during the verification. Just make sure the affidavit is well-prepared!