Given y = A sin λ 2 π ( v t − x ) , where y and x are in metres and v is speed. The unit of λ 2 π is

λ 2 π x is dimensionless with x in metres, so λ 2 π has the unit ( m ) − 1 .

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PhysicsUnit & DimensionMiscellaneousEasy2 minQB

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Given $y = A sin \frac{2 π}{λ} (v t - x)$ , where $y$ and $x$ are in metres and $v$ is speed. The unit of $\frac{2 π}{λ}$ is

Answer:

Solution:

$\frac{2 π x}{λ}$ is dimensionless with $x$ in metres, so $\frac{2 π}{λ}$
has the unit $(m)^{- 1}$ .

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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