Which of the following statement is NOT correct about power?

  1. It is the rate at which work is done or energy is consumed
  2. It is a scalar quantity
  3. 1 horsepower is equal to 746 kW
  4. When work is done, an equal amount of energy is consumed

Answer (Detailed Solution Below)

Option 3 : 1 horsepower is equal to 746 kW
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Detailed Solution

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CONCEPT:

  • Power is defined as the rate of doing work.
  • It is a scalar quantity that has only magnitude but no direction.
  • The SI unit of power is Watt.
  • There is another unit of power i.e. horsepower.
  • 1 h.p. = 746 Watts or 0.75 kW.
  • When work is done, an equal amount of energy is consumed.
  • 1 Watt is the power of an appliance that consumes energy at the rate of 1 Joule per second.
    • 1 Watt = 1 Joule per second

EXPLANATION:

The power of an electrical appliance tells us the rate at which electrical energy is consumed or doing work by it. Its unit is Watt. It is a scalar quantity.

  • There is another unit of power i.e. horsepower.
  • 1 h.p. = 746 Watts or 0.75 kW.
  •  1 horsepower is not equal to 746 kW. So statement 3 is incorrect.

So option 3 is correct.

IMPORTANT POINT

  • 'Watt' is named after the Scottish inventor, engineer, and designer James Watt who became famous for improving the design of the steam engine.
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