KEAM 2021 Physics and Chemistry Solved Paper

Given, A×v=B
where, B is energy. $
⇒ \;\; A × v=\;\text " Energy "\; $
Dimensional formula of v,[v]=[LT−1]
Dimensional formula of E,
[E]=[ML2T−2]
Let dimensional formula of quantity A=[MaLbTc]
⇒‌‌[MaLbTc][LT−1]=[ML2T−2]
⇒‌‌[MaLb+1Tc−1]=[ML2T−2]
From the principle of homogeneity,
a=1
b+1=2‌‌⇒b=1
c−1=−2‌‌⇒c=−1
⇒ Dimensional formula of A=[ML0T−1]
=[MLT−1]
This is the dimensional formula of momentum.