A force defined by $F=\alpha t^2+\beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:

Question

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] $[\alpha t^2]=[\beta t]=[F]$, so $\frac{\alpha t}{\beta}$ is dimensionless. Answer (4).

Q. A force defined by $F=\alpha t^2+\beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:

Explanation

Reviewed by Dr. Abubacker

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