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Check the dimensional consistency of the...

Check the dimensional consistency of the following equations.
(i) de - Broglie wavelength, `lambda=(h)/(mv)`.

Text Solution

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Given `lambda=(h)/(mv)`
As wavelength is a distance,
`LHS = therefore [lambda]=L`
Also, `RHS=[(h)/(mv)]=("Planck's constant")/("mass"xx"velocity")`
`=(ML^(2)T^(-1))/(MLT^(-1))=L`
`therefore` Dimensions of LHS - Dimensions of RHS.
Hence the given equation is dimensionally consistent.
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