Question

If momentum (P), area (A) and time (T) are assumed to be fundamental quantities, then energy has dimensional formula 

(A) [P¹ A^-1/2T^-1] 

(B) [P¹ A^1/2T^-1] 

(C) [P² A^-1 T^-1] 

(D) [P¹ A^-1 T¹]

Answer 1

Answer is (B) [P¹ A^1/2T^-1] 

[Energy] = [M¹ L² T^-2 ] = [M¹ L¹ T^-1] [L¹ ] [T^-1] = [P¹ A^1/2T^-1]