1 kW power is equal to ______. (KW stands for kilowatt.)  

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RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 3)
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  1. 1000 J/s
  2. 10 J/s
  3. 100 J/s
  4. J/s

Answer (Detailed Solution Below)

Option 1 : 1000 J/s
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Detailed Solution

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The Correct answer is 1 kW = 1000 J/s.

Key Points

  • The unit kilowatt (kW) is a measure of power in the International System of Units (SI).
  • 1 kilowatt is equivalent to 1000 watts (W), where 1 watt is defined as 1 joule per second (1 W = 1 J/s).
  • Thus, 1 kW = 1000 J/s, which means that 1 kilowatt represents the transfer of 1000 joules of energy per second.
  • This relationship is derived from the basic definition of power, which is the rate of doing work or transferring energy.
  • The unit kilowatt is commonly used in various applications, including electricity billing, mechanical systems, and energy consumption measurements.
  • For example, the power rating of household appliances like air conditioners, heaters, and washing machines is often given in kilowatts.
  • This conversion is fundamental in understanding the energy consumption and efficiency of devices, making it essential for calculations in physics and engineering.

 Additional Information

  • 10 J/s
    • This is a smaller unit of power and does not equate to 1 kilowatt. It is equivalent to 10 watts, which is significantly less than 1 kW.
  • 100 J/s
    • While closer in value, this is still much smaller than 1 kilowatt. It represents 100 watts, which is one-tenth of a kilowatt.
  • 1 J/s
    • This is the definition of 1 watt, the basic unit of power in the SI system. However, it is far smaller than 1 kilowatt, as it is only one-thousandth of a kilowatt.
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