Units-Of-Measurement-Systems-Of-Units-Si-Units-Fundamental-By-Prof-Sanjeev-Sanghi

Units of Measurement

1. Length:

   • 1 meter (m) = 100 centimeters (cm)
   • 1 meter (m) = 1000 millimeters (mm)

2. Mass:

   • 1 kilogram (kg) = 1000 grams (g)

3. Time:

   • 1 second (s) = 1000 milliseconds (ms)

4. Area:

   • Area of a rectangle = Length × Width

5. Volume:

   • Volume of a cube = Side³
   • Volume of a cylinder = πr²h

SI Units

1. Length: Meter (m)
2. Mass: Kilogram (kg)
3. Time: Second (s)
4. Temperature: Kelvin (K)
5. Electric Current: Ampere (A)
6. Amount of Substance: Mole (mol)
7. Luminous Intensity: Candela (cd)

Fundamental Constants

1. Speed of Light in Vacuum (c): $$(3 \times 10^8) m/s$$
2. Planck’s Constant (h): $$(6.626 \times 10^{-34}) Js$$
3. Avogadro’s Number (Nₐ): $$(6.022 \times 10^{23}) mol⁻¹$$
4. Gravitational Constant (G): $$(6.674 \times 10^{-11}) Nm²/kg²$$

Formulas

1. Distance traveled ((d)) = Speed ((v)) × Time ((t))
2. Speed $$((v)) = (\frac{d}{t})$$
3. Acceleration $((a)) = (\frac{{\Delta v}}{t})$$
4. Newton’s Second Law: (F = ma)
5. Work ((W)) = Force ((F)) × Displacement ((d)) × cos(θ)
6. Power $$((P)) = (\frac{W}{t})$$
7. Kinetic Energy $$((KE)) = (\frac{1}{2}mv^2)$$
8. Potential Energy ((PE)) = mgh (near the surface of the Earth)
9. Ohm’s Law: (V = IR)
10. Coulomb’s Law: $$(F = \frac{k|q_1q_2|}{r^2})$$
11. Electric Power ((P)) = (VI)

Dimensional Analysis

1. In dimensional analysis, ensure that the dimensions (units) on both sides of an equation are consistent.

Significant Figures

1. When performing calculations with measured values, maintain the correct number of significant figures in your answers.