In a book, the answer for a particular question is expressed as b = k ma [ 1 + ma 2 k ℓ ] (here ' 2 ' is dimensionless) here m represents mass, a represents acceleration, ℓ represents length. The unit of b should be

ma k ℓ is dimensionless, k ∝ ℓ ma k ⇒ M 1 T − 2 . b ∝ k ma b = M 1 T − 2 M 1 L 1 T − 2 = L 1

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PhysicsUnit & DimensionMiscellaneousEasy2 minQB

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In a book, the answer for a particular question is expressed as $b = \frac{ma}{k} [1 + \frac{2 k ℓ}{ma}]$ (here ' 2 ' is dimensionless) here m represents mass, a represents acceleration, $ℓ$ represents length. The unit of $b$ should be

Options:

Answer:

Solution:

$\frac{k ℓ}{ma}$ is dimensionless,

$k \propto \frac{ma}{ℓ}$

$k \Rightarrow M^{1} T^{- 2}$ .

$b \propto \frac{ma}{k}$

$b$ = $\frac{M ^{1} L ^{1} T ^{- 2}}{M ^{1} T ^{- 2}} = L^{1}$

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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