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Questions and Answers
Match the following items with their correct units of length:
Match the following items with their correct units of length:
Distance between earth and stars = Light year Inter atomic distance in a solid = Angstrom Size of nucleus = Fermi Wavelength of Infrared Laser = Micron
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Study Notes
Unit Systems and Measurements
- SI, MKS, FPS, and CGS are systems of units; not all based on mass, length, and time.
- FPS (Foot-Pound-Second) is primarily used in the U.S. while SI (International System of Units) is used globally.
Unitless Quantities
- Velocity gradient is unitless, differentiating it from pressure, displacement, and force gradients.
Dimensional Analysis
- Surface tension and coefficient of viscosity share mass and length as fundamental units in their dimensional formulas.
Micron to Nanometre Ratio
- One micron equals 1,000 nanometres (10³), highlighting the scale differences between these units.
Temperature as a Derived Quantity
- Temperature can be derived from the combination of length, mass, and time, positioning it as a complex metric in physics.
Density Conversion
- Wood density is 0.5 gm/cc in CGS; its MKS equivalent is 500 kg/m³, showcasing unit conversion proficiency.
Matching Units of Length
- Distance between Earth and stars: Kilometre
- Interatomic distance in solids: Angstrom
- Size of nucleus: Fermi
- Wavelength of Infrared Laser: Micron
Time Units
- Microsecond, leap year, lunar month, and parallactic second are all units of time; the concept of time is diverse.
Smallest Units of Measurement
- Among millimetre, angstrom, fermi, and metre, the fermi is the smallest, relevant to nuclear dimensions.
Relations and Conversions
- Common physical constants:
- 1 calorie = 4.18 joules
- 1 Ångström (Å) = 10⁻¹⁰ metres
- 1 MeV = 1.6 x 10⁻¹³ joules
- 1 newton = 10⁵ dynes, emphasizing the variation in units across different measurement systems.
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