A physical quantity is measured and the result is
expressed as nu where u is the unit used and n is the
numerical value. If the result is expressed in various
units then relation between n and u.

(a) n c< size of u . (b) n c< u^2

(c). n c<√u. (d) n c< 1/u

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Solution

The correct answer is (d) n ∝ 1/u
Reason/Explanation:-

-Let us take an example of mass , suppose if a body has a mass of 10 kg . (In this 10 is the numerical value and kg is the unit) So if we decrease the size of the unit , Say kg to g then the numerical value will be 10000.
10 kg = 10000 g.

If the size of the unit Kg will be increased from kg to Quintal then the numerical value will be 0.1.

10 kg = 0.1 Quintal.

from this example, we can say that if the unit is increasing then the numerical value is decreasing & if the unit is decreasing then the numerical value of is increasing.

∴ numerical value, n ∝ 1/u

Option d is the right answer.

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