Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minPYQ_2021

PhysicsMediumsingle choice

If time $(t),$ velocity $(v),$ and angular momentum $(l)$ are taken as the fundamental units. Then the dimension of mass $(m)$ in terms of $t, v$ and $l$ is:

Options:

Answer:

Solution:

$m \propto t^{a} v^{b} ℓ^{c}$

$m \propto [T]^{a} {[{LT}^{- 1}]}^{b} {[{ML}^{2} T^{- 1}]}^{c}$

$M^{1} L^{0} T^{0} = M^{c} L^{b + 2 c} T^{a - b - c}$

Comparing powers,

$c = 1, b = - 2, a = - 1$

$m \propto t^{- 1} v^{- 2} ℓ^{1}$

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2021

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