The power of a body can be measured in both Kilowatt (KW) as well as Watt(W). Then the value of 1 KW in terms

Question

The power of a body can be measured in both Kilowatt (KW) as well as Watt(W). Then the value of 1 KW in terms of Watt is:

Examoogle · Accepted Answer

The correct answer is Option B: 1000. The power of a body or electrical appliance is measured in Watt (W) or Kilowatt (kW). The prefix 'kilo-' stands for one thousand ($10^3$), which means that $1	ext{ kW} = 1000	ext{ W}$.

Step-by-Step Solution & Concepts:
The power of a body or electrical appliance is measured in Watt (W) or Kilowatt (kW). The prefix 'kilo-' stands for one thousand ($10^3$), which means that $1	ext{ kW} = 1000	ext{ W}$.

Working Principle: In the International System of Units (SI), power is expressed in watts (W), named after James Watt. Larger units of power are commonly used in engineering and daily life, such as the kilowatt (kW), where $1	ext{ kilowatt} = 10^3	ext{ watts} = 1000	ext{ watts}$.

Key Formulas: $1	ext{ kW} = 1000	ext{ W} = 10^3	ext{ W}$ — Relation between Kilowatt and Watt; $P = \frac{W}{t}$ — Definition of power in terms of work done and time

Key Points: Watt (W) is the SI unit of power, defined as one joule per second ($1	ext{ W} = 1	ext{ J/s}$).; Kilowatt (kW) is a larger multiple unit frequently used for electrical appliances, motors, and power plants.; Prefix 'kilo' represents a factor of $1000$ ($10^3$) in the International System of Units (SI).

Advantages: Using kilowatts simplifies writing large power ratings (e.g., a $1.5	ext{ kW}$ motor instead of $1500	ext{ W}$).; Standardized SI prefixes allow seamless unit conversions across physics and electrical engineering calculations.

Applications: Electrical meters and billing use kilowatt-hours (kWh) for energy consumption.; Automotive engine power is frequently expressed in kilowatts (kW) or horsepower (HP).

Additional Info: Option A ($10$ W) is incorrect.. Option B ($1000$ W) is correct because $1	ext{ kW} = 1000	ext{ W}$.. Option C ($10000$ W) corresponds to $10	ext{ kW}$.. Option D ($100$ W) corresponds to $0.1	ext{ kW}$ or hectowatt.

Answer: B is correct — 1 KW is equal to 1000 Watt.

Exam Tip: Always remember standard SI prefixes: Mega ($10^6$), Kilo ($10^3$), Centi ($10^{-2}$), Milli ($10^{-3}$), Micro ($10^{-6}$), and Nano ($10^{-9}$) as they frequently appear in numerical problems across physics.

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