Units and Dimensions: 31 flashcards
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1. What are the two parts of a physical quantity?
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A numerical value and a unit.
2. Name the seven SI base units.
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metre, kilogram, second, ampere, kelvin, mole, candela
3. What is a derived unit? Give an example.
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A unit formed by multiplying or dividing base units; e.g., newton = kg·m/s².
4. What do dimensions describe?
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How a quantity is built from fundamental quantities like M, L, T.
5. Dimensional formula of force
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[M L T⁻²]
6. Dimensional formula of work or energy
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[M L² T⁻²]
7. Dimensional formula of power
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[M L² T⁻³]
8. Dimensional formula of pressure
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[M L⁻¹ T⁻²]
9. Dimensional formula of momentum or impulse
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[M L T⁻¹]
10. State the principle of homogeneity.
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In a correct physical equation, the dimensions of all terms on both sides must be the same.
11. What are three uses of dimensional analysis?
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To check equations, convert units, and derive relations.
12. What can dimensional analysis NOT determine?
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Dimensionless constants like ½ or 2π.
13. Give an example of two quantities with the same dimensions but different physical meanings.
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Work and torque both have [M L² T⁻²].
14. Convert 1 newton to dyne.
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1 N = 10⁵ dyne
15. Convert 1 joule to erg.
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1 J = 10⁷ erg
16. Name four dimensionless quantities.
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Angle, strain, refractive index, relative density
17. What is the dimension of a pure number?
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1 (dimensionless)
18. Why can't you add 3 kg to 2 m?
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They have different dimensions; only quantities with the same dimensions can be added.
19. What is the SI unit of force?
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newton (N)
20. What is the SI unit of pressure?
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pascal (Pa)
21. What is the SI unit of work?
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joule (J)
22. What is the SI unit of power?
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watt (W)
23. What is the dimensional formula of speed?
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[L T⁻¹]
24. What is the dimensional formula of acceleration?
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[L T⁻²]
25. What is the dimensional formula of area?
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[L²]
26. What is the dimensional formula of volume?
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[L³]
27. What is the dimensional formula of density?
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[M L⁻³]
28. What is the dimensional formula of surface tension?
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[M T⁻²]
29. What is the dimensional formula of frequency?
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[T⁻¹]
30. What is the dimensional formula of Planck's constant?
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[M L² T⁻¹]
31. What is the dimensional formula of gravitational constant G?
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[M⁻¹ L³ T⁻²]
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