02. A force F is given by F = at +bt2, where t is time. What are the dimensions of a and b? (a) MLT and MLTº (b) MLT) and ML 274 (c) MLT- and MLT (d) MLT' and MLT4 with solved
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Answer:
[a] = [MLT⁻³]. [b] = [MLT⁻⁴]
Explanation:
F = at + bt²
dimensions of [F ] = [at]
dimensins of [a ] = [F]/[t] = [MLT⁻²]/[T]
= [MLT⁻³]
dimensions of [F] = [bt²]
dimensions of b are [b] = [F]/[t²] = [MLT⁻²] /[T²]
= [MLT⁻⁴]
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