Abhijit also said he would like the government to issue a postage stamp in honour of his father.
"The brave solider displayed a high degree of initiative and has served 10 years in difficult and challenging areas out of 13 years of total service," a senior army officer said.
The army confirmed the recovery of the mortal remains of nine soldiers buried under Siachen Glacier avalanche debris on Tuesday evening.
The Union Cabinet, headed by Prime Minister Narendra Modi, also observed silence for two minutes in the memory of Mukherjee.
Singh, a former Army officer, had been ill after a fall at his home in August 2014 and was admitted to the Army Research and Referral Hospital. He had been in and out of the hospital and was admitted again in June this year.
From the dusty lanes of Mirati, life took the scholar politician to the imposing Rashtrapati Bhavan through a warren of powerful offices he held, but the village stuck, the bond only grew stronger.
Mukherjee's family and relatives paid their last respects clad in PPE kits while conforming to COVID-19 safeguards.
He was awarded the distinguished Flying Cross in 1944. This honour is equivalent to today's Param Vir Chakra. The Arjan Singh Trust for needy air force personnel was set up out of the proceeds of his farm house in Delhi being sold. He was a charismatic leader of men and lived up to the fine traditions of soldiering, says Group Captain Murli Menon (retd).
The long-time Congress leader and seven-time parliamentarian had tested positive for COVID-19 at the time of his admission and was being treated for a lung infection.
'Till date there have been 482 accidents on account of failure of this aircraft and 171 IAF pilots have lost their lives.'
His demise marks an end of a glorious era of the Indian Air Force.
'At an altitude of 5,000 metres, the levels of oxygen in the blood of a healthy soldier would be similar to that of a patient with a severe lung disorder at sea level.' 'While such patients are admitted to ICUs, confined to bed and treated with continuous oxygen therapy, the soldier at 5,000 metres with similar levels of oxygen in his blood performs intense physical activity and fights the enemy!' BharatShakti.in founder Nitin Gokhale reveals the ordeals that await soldiers when they are posted to the Siachen glacier.