A carbon resistor of `(47 +- 4.7) k Omega` is to be marked with rings of different colours for its identification. The colour code sequence will be

Options

A. Yellow-Green -Violet -Gold
B. Yellow-Violet-Orange-Silver
C. Violet-Yellow-Orange-Silver
D. Green-Orange-Violet-Gold

Explanation

To determine the color code for a carbon resistor with a resistance value of \( (47 \pm 4.7) \, k\Omega \), we will follow these steps:

### Step 1: Convert the Resistance Value to Ohms
The given resistance value is \( 47 \, k\Omega \). To convert this to ohms:
\[ 47 \, k\Omega = 47 \times 10^3 \, \Omega = 47000 \, \Omega \]

### Step 2: Determine the Error Percentage
The error given is \( \pm 4.7 \, k\Omega \), which is:
\[ 4.7 \, k\Omega = 4.7 \times 10^3 \, \Omega = 4700 \, \Omega \]
Now, we calculate the percentage error:
\[ \text{Percentage Error} = \left( \frac{4700}{47000} \right) \times 100 = 10\% \]

### Step 3: Identify the Number of Bands
Since we have a value with a tolerance of \( 10\% \), this indicates that the resistor will have 4 bands:
1. First significant digit
2. Second significant digit
3. Multiplier
4. Tolerance

### Step 4: Determine the Color Code for Each Band
- **First Digit (4)**: The first digit of the resistance value is 4. The color code for 4 is **Yellow**.
- **Second Digit (7)**: The second digit is 7. The color code for 7 is **Violet**.
- **Multiplier (10^3)**: The multiplier for \( 10^3 \) is 3. The color code for 3 is **Orange**.
- **Tolerance (10%)**: The tolerance of 10% corresponds to the color code **Silver**.

### Step 5: Compile the Color Code
Putting all the colors together, we get the color code sequence for the resistor:
- **First Band**: Yellow
- **Second Band**: Violet
- **Third Band**: Orange
- **Fourth Band**: Silver

Thus, the final color code for the resistor is:
**Yellow, Violet, Orange, Silver**

### Final Answer
The color code sequence for the resistor is **Yellow, Violet, Orange, Silver**.

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