Question

With reference to the statement that, “Measurement is a process of comparison”. Prove

that, measured numerical value(n) is inversely proportional to the unit(u) of measurement.

Give a suitable example.

Answer 1

Answer:

Explanation:

With reference to the statement that, “Measurement is a process of comparison”. Prove

that, measured numerical value(n) is inversely proportional to the unit(u) of measurement.

Give a suitable example

Answer 2

The measured numerical value(n) is inversely proportional to the unit(u) of measurement.

Explanation:

• The numerical significance along with its unit measures a quantity.

• The connection between two distinct units for the exact quantity will tell us the relation between the unit & its numerical value. The connection between a numerical value & its unit can be easily demonstrated with the help of units of measurement like kilo, liter, etc.

• It is better to know the explanations of the words we are going to use in the moreover explanation. The definition of measure & unit is as follows.

• Measurement is the selection of quantity to factors of substances, objects, events, etc. A physical quantity is calculated by a fixed quantity known as a unit.

For example, x illustrates magnitude and y represents a unit. Thus, the all-around expression is represented as follows:-

xy=constant

On dividing both the sides, we get,

x = constant / y

Let us assume a numerical example for a reasonable understanding of the vision. Mass of object = 10 kg. Here, 10 kg denotes the physical quantity of an object. You can see that the value of 10 kg can be modified to any other unit.

We know that 1g=0.001kg

Like this,

10 kg = 10,000 g

We also know that 1ton=1,000kg

Like this,

10 kg = 0.001 ton

Finally, we can conclude that,

10,000 grams = 10 kg = 0.001 ton

From the above expression we get,

10,000 > 10 > 0.001 (1)

Now, consider the units,

Gram<Kg<Ton (2)

Correlating equations (1) & (2), we can see that as the numerical value reduces, the unit rises. Thus, both are inversely proportional to each further.

Hence, the numerical value of a measure is inversely proportional to the unit.