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Q.

The equation describing the motion of a particle along Y-axis is given by $y = {At}^{2} - {Bt}^{3}$ . Find the dimension of B

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a

$[{ML}^{2} T^{- 1}]$

b

$[{LT}^{- 3}]$

c

$[{LT}^{- 4}]$

d

$[{LT}^{- 1}]$

answer is A.

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Detailed Solution

$y = {At}^{2} - {Bt}^{3} y - displacement - [L] y = {Bt}^{3} B [T^{3}] = [L] B = [{LT}^{- 3}]$

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The equation describing the motion of a particle along Y-axis is given by y=At2−Bt3. Find the dimension of B