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Question: Answered & Verified by Expert
A physical quantity is measured and its value is found to be $nu$ where $n =$ numerical unit and $u =$ unit. Then which of the following relations is true
PhysicsUnits and DimensionsJEE Main
Options:
  • A $n \propto u^2$
  • B $n \propto u$
  • C $n \propto \sqrt{u}$
  • D $n \propto \frac{1}{u}$
Solution:
1418 Upvotes Verified Answer
The correct answer is: $n \propto \frac{1}{u}$
A physical quantity is measured as a product of numerical value and unit.
\(\mathrm{p}=\mathrm{nu}\)
Where
\(\mathrm{n}=\) numerical value
\(\mathrm{u}=\) unit
from (i) equation, \(p=\) constant
Therefore
\(\mathrm{n} \propto \frac{1}{\mathrm{u}}\)

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