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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minQB

PhysicsEasysingle choice

Check the dimensional correctness of the expression $Y = \frac{M gL}{π r ^{2} l}$ , where $Y$ is Young's modulus of the material of wire, $L$ is length of wire, $M g$ is the weight applied on the wire and $l$ is the increase in the length of the wire.

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Answer:

Solution:

$[Y] = [M L^{- 1} T^{- 2}]$ and RHS
$= \frac{[ M L T ^{- 2} ] [ L ]}{[ L ^{2} ] [ L ]}$
$= [M L^{- 1} T^{- 2}]$ .
Dimensions of RHS and LHS are the same;
therefore the given equation is dimensionally correct.

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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