(a) What does it mean when we say that the formulas used in physics are consistent with SI units? (b) For two quantities with the same physical dimensions can you add (or subtract), multiply (or divide) or do both with these two quantities? For two quantities with different physical dimensions can you add (or subtract), multiply (or divide) or do both with these two quantities?
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(a) There are several derived units in physics. Some of the most widely used SI derived units in physics are given below.
Sl. No Unit(s) Name SI Unit SI Unit Symbol Expressed in SI Base Unit Expressed in other SI units
1. Force, Weight Newton N kg⋅m⋅s-2 –
2. Frequency Hertz Hz s-1 –
3. Electric charge Coulomb C s⋅A –
4. Electric potential (Voltage) Volt V kg.m2.s-3.A-1 W/A
5. Inductance Henry H kg.m2.s-2.A-2 Wb/A
6. Capacitance Farad F kg−1.m−2.s4.A2 C/V
7. Resistance, Impedance, Reactance Ohm Ω kg.m2.s−3.A−2 V/A
8. Electrical conductance Siemens S kg−1.m−2.s3.A2 Ω−1
9. Magnetic flux Weber Wb kg.m2.s−2.A−1 V⋅s
10. Magnetic flux density Tesla T kg.s−2.A−1 Wb/m2
11. Energy, Work, Heat Joule J kg.m2.s−2 N⋅m = Pa⋅m3
12. Power, Radiant flux Watt W kg.m2.s−3 J/s
13. Angle Radian rad m.m−1 –
14. Radioactivity Becquerel Bq s-1 –
15. Luminous flux Lumen lm cd cd⋅sr
These were a few widely used units along with their SI units. Apart from these units, there are certain additional units that are commonly seen in physics. Some of such units are:
The SI unit of momentum (P) is kilogram meter per second (kg⋅ m/s)
The SI unit of the magnetic field (B) is Tesla
The SI unit of heat is the unit joule
The SI unit of velocity is m/s
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