Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Position of a body with acceleration $a$ is given by $x = k a^{m} t^{n} .$ Here $t$ is time. Find the dimensions of $m$ and $n$ .

Options:

Answer:

Solution:

Positions $x = k a^{m} t^{n}$

$[M^{0} L T^{0}] = {[L T^{- 2}]}^{m} {[T]}^{n}$

$= [M^{0} L^{m} T^{- 2 m + n}]$

On comparing both sides

$m = 1$

$- 2 m + n = 0$

$n = 2 m$

$n = 2 \times 1 = 2$

Stream:NTA_ABHYASSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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