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.
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what you are meaning please explain why step by step
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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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