If the show cause notice is issued under section 74(1) or 74(3) and thereafter the person chargeable with tax makes payment, is there any need to adjudicate the case

No. Where the person chargeable with tax, pays the tax along with interest under section 50 and applicable penalty within 30 days of communication of the order, all proceedings in respect of such notice except for proceedings under section 132 shall be deemed to be concluded.

(ICAI FAQ PUBLICATIONS 06-09-2017 Determination of tax not paid or short paid or erroneously refunded or input tax credit wrongly availed or utilized by reason of fraud or any willful misstatement or suppression of facts: FAQ NO. 16)