Question

The \[1kW\] is equal to
A. \[1000\] watt
B. \[{10^{ - 3}}\] mega watt
C. Both A and B
D. Neither A or B

Answer 1

Hint:The plausible value for a kilowatt is asked in this question. We start by defining what power is and one watt is. We then move onto defining a kilo and then a mega so that we can solve this and get the right solution to this question.

Complete step by step answer:
Let us start by saying what power is. Power is the amount of energy done in unit time. The unit of power is called watt and is expressed by “W”. Since it is the amount of energy spent in unit time; one watt can also be represented as joules per second.

Now that we have defined the concept of watt, we can see what one kilowatt is. The word kilo originated from the French in the 19th century. Kilo is the abbreviation used instead of a thousand.Now that we defined a kilo, one kilowatt is actually a thousand watt. We can see that there is one more unit we haven’t taken into consideration. That is the unit prefix “mega”. Mega is a unit prefix that has a value of ten powers six.

If we move onto the math path, we can see that \[1\,kW = 1000\,W\] (as we defined kilo to be a thousand). Mega Watt and Watt can be related as, \[1\,MW = {10^6}\,W\]. We can break this value down in terms of thousands \[1\,MW = {10^6}\,W = {10^3} \times {10^3}\]. We know what one thousand watt is, hence this can be rewritten as \[1\,kW \times {10^3} = 1\,MW\]. Here, we are asked to find the value of one kilowatt, we take one ten power three to the other side and get \[1\,MW \times {10^{ - 3}} = 1\,kW\].

Hence, the right answer is option C.

Note:The terms, kilo, mega, Giga, deci, etc are called unit prefixes or Metric prefixes.The unit prefixes are incredibly useful for describing the quantities in the SI system in a more concise or short manner. These unit prefixes help in doing calculations and make it easier to get the solution for questions involving comparatively bigger numbers.