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

Question

The position of the particle moving along Y-axis is given as y = At2 - Bt3 , where y is measured in metre and t in second. Then the dimensions of B is (A)  [LT- 2 ]  (B)  [LT- 1 ]  (C)  [LT - 3 ]  (D)  [ MLT - 2 ]

Tardigrade Admin · Accepted Answer

As y = B [ T3 ] ⇒ [ L ] = B [ T3 ] ∴ B = [ LT - 3 ]

Q. The position of the particle moving along Y-axis is given as y = $A t^{2} - B t^{3}$ , where y is measured in metre and $t$ in second. Then the dimensions of B is

$[L T^{- 2}]$

$[L T^{- 1}]$

$[L T^{- 3}]$

$[M L T^{- 2}]$

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

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

[LT−2]

[LT−1]

[LT−3]

[MLT−2]