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Units and Measurements — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements1 Mark
Question
Magnitude of force F experienced by a certain object moving with speed v is given by $\text{F}=\text{k}\text{v}^2$ where k is constant. Find the dimensions of K.
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Answer

Since, $\text{F}=\text{k}\text{v}^2$ Here, $[\text{k}]=\frac{[\text{F}]}{[\text{v}^2]}$ $=\frac{[\text{MLT}^{-2}]}{[\text{LT}^{-1}]^2}$ $=[\text{M}^1\text{L}^{-1}]$

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