Question

The velocity at a point t is given by v=at+b/t+c. Find dimensions of ab/c

Answer 1

v=at+b/t+c

[v] = [LT⁻¹]

[t] = [c]

[c] = [T]

Putting in equation,

[LT⁻¹] = [a] [T] / [T]

[a] = [LT⁻¹]

[a][t] = [b]

[LT⁻¹] [T] = [b]

Dimensions of ab/c =  [LT⁻¹] [LT⁻¹] [T] / [T] = [L²T⁻²]