If x = bt + ct², find the dimensions of b and c,where x is length and t is time.
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Answer:
dimensions of b and c are [LT^-1] and [LT^-2]
Explanation:
By principle of homogeineity, we get,
[x] = [bt]
=> [L] = [b] × [T]
=> [b] = [L] / [T]
= [LT^-1]
similarly,
[x] = [ct^2]
=> [L] = [c][T^2]
=> [c] = [LT^-2]
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