the velocity v of a particle at time t is given by v=at+b/t+c , where a b and c are constants . the dimensions of a,band c are
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According to the principle of dimensional homogenity
Dimension of v = dimension of at = dimension of
t+c
b
Dimension of a =
[t]
[v]
=
T
LT
−2
=[LT
−2
]
Dimension of b = [v][t]=[LT
−1
T]=[L]
Dimension of c = [t]=[T]
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