Question

Write the dimension of a/b in the relation F = a√x+bt^3, where F stands for force, x is distance and t is time.

Answer 1

Answer:

what you are meaning please explain why step by step

Answer 2

Explanation:

According to principle of homogeneity, both terms on right term will also have dimensions of force.

[x] = [distance]= [L], [t]= [time]= [T], [Force]= [MLT^-2]

=> [a√x]= [bt^3]= [Force]

[a] /[b]= [time]^3 / [√x]

=[T^3] / [L^1/2]

=> [a/b] = [M^0L^-1/2T^3]

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