A force $F$ is given by $F = at + b{t^2}$, where $t$ is time. What are the dimensions of $a$ and $b$
A force $F$ is given by $F = at + b{t^2}$, where $t$ is time. What are the dimensions of $a$ and $b$
$ML{T^{ - 3}}$ and $M{L^2}{T^{ - 4}}$
$ML{T^{ - 3}}$ and $ML{T^{ - 4}}$
$ML{T^{ - 1}}$ and $ML{T^0}$
$ML{T^{ - 4}}$ and $ML{T^1}$
A force $F$ is given by $F = at + b{t^2}$, where $t$ is time. What are the dimensions of $a$ and $b$
From the principle of dimensional homogenity $[a] = \left[ {\frac{F}{t}} \right] = [ML{T^{ - 3}}]$ and $[b] = \left[ {\frac{F}{{{t^2}}}} \right] = [ML{T^{ - 4}}]$
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