First slide

Dimensions

Question

The position of the particle moving along Y-axis is given as y = At² - Bt³, where y is measured in metre arid t in second. Then the dimensions of B are

Moderate

A

$[{LT}^{- 2}]$
B

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

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

$[{MLT}^{- 2}]$

Solution

$As, [y] = [B] [T^{3}] \Rightarrow [L] = [B] [T^{3}] \Rightarrow [B] = [{LT}^{- 3}]$

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