Kelvi

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:

medium

Units and Measurements

2024

physics

$\alpha \beta t$

$\frac{\alpha \beta}{t}$

$\frac{\beta t}{\alpha}$

Explanation

To determine which expression is dimensionless, we need to analyze the dimensions of each term. $\\$ Given the force $F = \alpha t^2 + \beta t,$ where $\alpha$ and $\beta$

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A force defined by F=αt2+βt F = \alpha t^2 + \beta t F=αt2+βt acts on a particle at a given time t. t. t. The factor which is dimensionless, if α \alpha α and β \beta β are constants, is:

Explanation

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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: