Question

Write the dimensions of a / b in the relation- F= avx + btz , where F is the force , x is the distance and t = time.

Answer 1

By the law of dimensional analysis.
Dimension of F= Dimension of (avx) = Dimension of (btz)
F = [MLT⁻²]
[MLT⁻²]= [a][v][x]= [a][LT⁻¹][L] = [a][L²T⁻¹]

[a] = [MLT⁻²]/[L²T⁻¹] = [ML⁻¹T⁻¹]

[MLT⁻²]= [b][t][z]=[b][T][L]
[b] = [MLT⁻²]/[LT] = [MT⁻³]

[a/b] = [ML⁻¹T⁻¹]/[MT⁻³] = [M⁰L⁻¹T²]

Answer 2

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Hope it helps...

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