Yes, Non-physical quantities can be measured.

Measurement of non-physical quantity:

A non-physical quantity like temperature can be measured indirectly using instruments such as thermometers which quantify the effect of temperature on the material.

Measurement:

A Measurement is a process of obtaining numerical value for physical quantity.

 Parts of measurement:

 I. Numerical Value (magnitude e.g. 5,10)

 ii-Unit (Standard reference used e.g. cm.kg)
It determines size or amount using standard units.

We need a standard unit for measurements.

Reason:

A standard unit ensures uniformity and consistency across measurement. Standard unit enables precise and accurate measurements.

Base Quantities:

1. Length     2. Mass      3. Time

Derived Quantities:

1. Speed     2. Area       3. Volume

Unit to express height of desk:

The SI unit for measuring height of desk is meter (m).

Meter is base unit of length in international system of unit (SI).

        Names                 Units            Symbols

1. Length                          Meter                m
2. Mass                             Kilogram           kg
3. Time                              Second             s
4. Electric current             Ampere            A
5. Temperature                  Kelvin               K
6. Amount of substance    Mole              mol
7. Intensity of Light            Candela          cd

Reason:

Prefix is used to represent very large or small numbers in more convenient way. They help to simplify expression.