Question

Dimensional formula for Resistance (R) is .....

(a) M¹L¹ T^-3 A^-1

(b) M¹L¹ T0 A^-1

(c) M¹L² T^-3 A^-2

(d) M¹L² T^-3 A^-2

Answer 1

Dimensional formula for Resistance (R) is M¹L² T^-3 A^-2  

Explanation:

Resistance = R = (V/I)

V = (Work / charge) = (W/Q) = [(Work) / (current × Time)]

  = (W / It) = ([M¹L²T^–2] / [A¹T]) = [M¹L²T^–3A^–1]

  ∴ R = V/I = ([M¹L²T^–3A^–1] / [A¹]) = [M¹L²T^–3A^–2]