Question

A derived dimension is something which has some physical sense or is the combination of many fundamental dimensions.
If true enter 1, else enter 0.

Answer 1

Hint:Recall the concept of fundamental physical quantity and derived physical quantity. From these concepts, give the relation between the derived units and derived dimensions with an example of derived physical quantity and its derived dimensions. Hence, check whether the statement given in the question is true or false.

Complete step by step answer:
The dimensions of a physical quantity are the powers which are raised to the fundamental physical quantities in order to represent that physical quantity.
The dimensions of a physical quantity are derived from the unit of that physical quantity.
Hence, let us first see what is the meaning of derived unit.
The derived physical quantity is the physical quantity derived from the fundamental physical
quantities and the derived unit is the combination of the units of fundamental physical quantities.
For example, the physical quantity velocity is derived from the fundamental quantities length and time. Hence, its dimensions are the combination of the fundamental dimensions of length and time. Hence, we can define the derived dimension as the dimensions of the derived physical quantity which has the derived unit.
From the above definitions, it is clear that the derived dimension is formed from the combination of fundamental dimensions of the fundamental physical quantities.
Also, we can say that the derived dimension has physical sense as the derived physical quantity and unit has a physical sense.

Thus, the given statement is true. Hence, the correct answer is 1.

Note:The students may think that how derived dimensions have a physical sense. But the students should think that the derived dimensions refer to a derived unit which may be the unit of a single or multiple derived physical quantities and a physical quantity which is either fundamental or derived has always a physical meaning making sense.