If Velocity of particle at any instant`t` is given by v=ar+br2, the dimension of `b' will be

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If Velocity of particle at any instant`t` is given by v=ar+br2, the dimension of `b' will be

vishnavig7 23rd Dec, 2020

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Parmeshwar Suhag 23rd Dec, 2020

Hello there,

Clearly we know that the SI Unit of velocity is metre/second i.e. m/s.

Now as v = ar + br^2, then clearly, ar has unit m/s and also br^2 has also the unit m/s

So, br^2 = m/s

Now unit of r (displacement) is m.

So b. m ^ 2 = m/s.

Hence unit of b will be 1/ms

Hope it helps.

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