What are the dimensions of a and b in the relation F=a√x+bt2 where F is force, x is distance and t is time?
A
[ML12T−2],[MLT−4]
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B
[ML32T−2],[MLT−2]
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C
[M2L12T−12],[M3L12T−2]
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D
[M3L12T−2],[ML32T−2]
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Solution
The correct option is A[ML12T−2],[MLT−4] Applying principle of homogeneity, every term in an algebraic equation of physical quantities must have the same unit.
Thus, each term in the equation must have the dimensions of force.