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Questions  

The velocity v of a particle at time t is given by the equation v=at+bt+c. The dimensions of a, b, c are respectively

a
L2, T, LT2
b
LT2, LT, L
c
LT-2, L, T
d
L, LT, T2

detailed solution

Correct option is C

[v]=[at]=bt+c and [t]=[c]⇒[c]=T⇒[t+c]=T⇒[b]T=LT−1⇒[b]=L and [a]=LT−2 ∴ [a]=LT−2, [b]=L, [c]=T.

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