If v = A t + B t 2 + C t 3 where v is velocity, t is time and A , B and C are constants, then the dimensional formula of B is

Question

If v = A t + B t 2 + C t 3 where v is velocity, t is time and A , B and C are constants, then the dimensional formula of B is, [ M 0 L T 0 ], [ M L 0 T 0 ], [ M 0 L 0 T ], [ M 0 L T - 3 ]

MARKS App · Accepted Answer

Dimension of velocity = [ M 0 L 1 T - 1 ] [ v ] = [ B t 2 ] ∴ [ B ] = [ v ] [ t 2 ] = [ M 0 L 1 T − 1 ] [ T 2 ] = [ L 1 T − 3 ]

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