Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

In the formula, $a = 3 b c^{2}$ , $a$ and $c$ have dimensions of electric capacitance and magnetic field intensity respectively. The dimensions of $b$ in $S . I .$ system are

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Answer:

Solution:

Given, $a = 3 b c^{2}$

$\Rightarrow b = \frac{a}{3 c^{2}}$

Writing dimensions for $a$ and $c$ , we have

$[b] = \frac{[Q / V]}{{[B]}^{2}} = \frac{[Q] [M L^{2} T^{- 2} Q^{- 1}]^{- 1}}{{[M T^{- 1} Q^{- 1}]}^{2}}$

$= [M^{- 3} L^{- 2} T^{4} Q^{4}]$

Stream:NTA_ABHYASSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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