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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

If the velocity of light $(c)$ , gravitational constant $(G)$ and Planck's constant $(h)$ are chosen as fundamental units, then the dimensions of mass in this new system is

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Answer:

Solution:

Let $m \propto C^{x} G^{y} h^{z}$

By substituting the following dimensions : $[C] = L T^{- 1}; [G] = [M^{- 1} L^{3} T^{- 2}]$ and $[h] = [M L^{2} T^{- 1}]$

Now, comparing both sides, we get

$x = 1 / 2; y = - 1 / 2, z = + 1 / 2$

So, $m \propto c^{1 / 2} G^{- 1 / 2} h^{1 / 2}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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