Units Measurements

⚡ Units & Measurements – 60-Second Cheat Sheet

🔑 Funda-Funda

  • SI Base Units (7 only)

    • Length: metre (m)
    • Mass: kilogram (kg)
    • Time: second (s)
    • Electric current: ampere (A)
    • Temperature: kelvin (K)
    • Luminous intensity: candela (cd)
    • Amount of substance: mole (mol)
  • Derived Hot-Shots

    • Force: newton (N) = kg·m·s⁻²
    • Energy: joule (J) = N·m
    • Power: watt (W) = J·s⁻¹
    • Pressure: pascal (Pa) = N·m⁻²
    • Frequency: hertz (Hz) = s⁻¹
    • Charge: coulomb (C) = A·s

📏 1-Liner Conversion Table (Railway Fav.)

Unit SI Unit Memory Trigger
1 Å 10⁻¹⁰ m “Angry Ant = 10 negative ten”
1 micron 10⁻⁶ m “Micro-soap kills 6 germs”
1 light-year 9.46×10¹⁵ m “Light-16 sweet”
1 astronomical unit (AU) 1.496×10¹¹ m “Earth–Sun 150 million km”
1 parsec 3.26 light-year “Par-sec = tri-sec (3)”
1 tonne 1000 kg “T for Thousand”
1 carat 200 mg “Car-200”
1 acre 4047 m² “4–0–4–7”
1 horsepower 746 W “Horses 747 fly”

🧠 Mnemonics

  • King Henry Died Drinking Chocolate Milk
    k- h- da- base- d- c- m- (km➜mm)
  • My Damn Cat Shits Every Morning
    m- dm- cm- mm- µm- nm (descending)

📐 Dimensionless & Special

  • Relative density, strain, angle, refractive index → no unit
  • 1 nautical mile = 1.852 km (railway track charts)
  • 1 knot = 1 nautical mile/h = 0.514 m/s

⚠️ Common Traps

  • Weight ≠ Mass; weight = mg → unit newton
  • Calorie (small) = 4.18 J; kcal = 4180 J
  • 1 barrel (oil) = 159 L

🎯 Rapid-Fire MCQs

1. Which of the following is NOT an SI base unit? A) Second B) Mole C) Newton D) Ampere **Ans: C) Newton** (derived)
2. 1 light-year is approximately A) 9.46×10¹² m B) 9.46×10¹⁵ m C) 3×10⁸ m D) 3.26 pc **Ans: B) 9.46×10¹⁵ m**
3. The unit of power is A) joule B) newton C) watt D) pascal **Ans: C) watt**
4. 1 horsepower equals A) 550 W B) 746 W C) 764 W D) 1 kW **Ans: B) 746 W**
5. Which quantity is dimensionless? A) Velocity B) Strain C) Force D) Energy **Ans: B) Strain**
6. 1 parsec is about A) 1 AU B) 3.26 ly C) 1 ly D) 9.46×10¹⁵ m **Ans: B) 3.26 ly**
7. The SI unit of pressure is A) N B) Pa C) J D) W **Ans: B) Pa**
8. 1 tonne equals A) 100 kg B) 1000 g C) 1000 kg D) 10 quintal **Ans: C) 1000 kg**
9. Which unit uses candela? A) Luminous intensity B) Temperature C) Current D) Amount of substance **Ans: A) Luminous intensity**
10. 1 micron is A) 10⁻³ m B) 10⁻⁶ m C) 10⁻⁹ m D) 10⁻¹² m **Ans: B) 10⁻⁶ m**