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Q.

The velocity v of a particle at time tis given by ν=at+bt+cwhere a, b and c are constants. The dimensions of a, b and c are respectively :

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a

[LT-2], [L] and [T]

b

[L2], [T] and [LT2]

c

[LT2], [LT] and [L]

d

[L], [LT] and [T2]

answer is A.

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Detailed Solution

ν=at+bt+c=[ ν] = [at]=bt+c and [t]=[c]⇒[a]=[LT-2 ], [b]=[L], [c]=[T]
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