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Q.

Given F = (a/t)+ bt2 where F denotes force and t time. The dimensions of a and b are respectively :

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a

[MLT-1] and [MLT-4]

b

[LT-1] and [T-2]

c

[T] and [T-2]

d

[LT-2] and [T-2]

answer is A.

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Detailed Solution

[a]=[Force]×[Time]=MLT-1[b]=[Force][Time]2=MLT-4
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Given F = (a/t)+ bt2 where F denotes force and t time. The dimensions of a and b are respectively :