Question

A Carnot engine has an efficiency of \(30\%\). The energy is supplied to the engine at the rate of \(3\) kW. The output power of the engine is

• A. \(100\) W
• B. \(300\) W
• C. \(900\) W
• D. \(1200\) W

Hint:

Efficiency is the ratio of output power to input power.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept
Efficiency \(\eta=\frac{\text{output power}}{\text{input power}}\).

Step 2: Given Data
\(\eta=30\%=0.3\) and input power \(=3\) kW \(=3000\) W.

Step 3: Calculation
Output power \(=0.3\times 3000=900\) W.

Step 4: Compare the options
This is option (C).

Final Answer:
The output power of the engine is 900 W. \[ \boxed{\text{(C) }900\text{ W}} \]