(A) Classify the following under base unit and derived unit :- `(i) m-1 and (ii) S-1 which physical quantities do these units belong to? (B) Derive SI unit of pressure in terms of base units.
(i) m^-1 is a derived unit. It belongs to the physical quantity "reciprocal of length" or "wave number."
(ii) S^-1 is a derived unit. It belongs to the physical quantity "reciprocal of time" or "frequency."
(B) The SI unit of pressure is the pascal (Pa), which is defined as one newton per square meter (N/m^2). It can be derived in terms of base units as follows:
Pressure (P) = Force (F) / Area (A)
Force (F) is measured in newtons (N), and Area (A) is measured in square meters (m^2).
Answers & Comments
Answer:
(i) m^-1 is a derived unit. It belongs to the physical quantity "reciprocal of length" or "wave number."
(ii) S^-1 is a derived unit. It belongs to the physical quantity "reciprocal of time" or "frequency."
(B) The SI unit of pressure is the pascal (Pa), which is defined as one newton per square meter (N/m^2). It can be derived in terms of base units as follows:
Pressure (P) = Force (F) / Area (A)
Force (F) is measured in newtons (N), and Area (A) is measured in square meters (m^2).
So, 1 pascal (Pa) = 1 N / 1 m^2
= 1 Nm^-2