Question

One megawatt is how many times that of one kilowatt?
(A) $1000$
(B) $19600$
(C) $100000$
(D) $0.001$

Answer 1

Hint: The mega watt and the kilowatt are the unit of the power. The power is used in both the electrical department and mechanical department, in both departments the unit of power is the same. Basically, the unit of power is watt. The mega and kilo are the terms used to express the power of $10$. By knowing what the power of $10$ for kilo and mega, the solution can be determined.

Complete step by step answer:
The mega and kilo are terms which were derived many years ago. It is derived to express the power of $10$. Like mega and kilo there are many terms which are used to express the power of $10$ from ${10^{ - 24}}$ to ${10^{24}}$.
One mega watt is equal to ${10^6}\,watt$ and the mega is denoted as $M$. So,
$1MW = 1 \times {10^6}\,W\,....................\left( 1 \right)$
One kilowatt is equal to ${10^3}\,watt$ and the kilo is denoted as $K$. So,
$1KW = 1 \times {10^3}\,W\,................\left( 2 \right)$
Now, the equation (1) is written as,
$1MW = 1 \times {10^3} \times {10^3}\,W$
By substituting the equation (2) in the above equation, then the above equation is written as,
$1MW = 1 \times {10^3}\,KW$
Now, the above equation is written as,
$1MW = 1000\,KW$
Thus, the above equation shows that the one megawatt is $1000$ times of the kilowatt.
Hence, the option (A) is the correct answer.

Note: The difference in the mega and kilo is the ${10^3}$, so that the one megawatt is a thousand times of the kilowatt. The prefix kilo is first coming into existence between $1865$ and $1870$. Though mega is used these days to mean "extremely good, great or successful," its scientific meaning is $1$ million.