The colour code strips on a carbon resistance starting from one end are brown, green, orange and silver. The value of resistance is

Question

Accepted Answer

To determine the value of resistance based on the color code strips on a carbon resistor, we use the standard resistor color code chart. The color bands on the resistor are brown, green, orange, and silver. Each color corresponds to a specific digit or multiplier according to the color code chart.

1. **Brown**: Represents the digit 1.
2. **Green**: Represents the digit 5.
3. **Orange**: Represents the multiplier $10^3$.
4. **Silver**: Represents a tolerance of ±10%, but this does not affect the nominal resistance value calculation.

Using the first three color bands, we calculate the resistance value as follows:

- The first band (brown) gives the first digit: 1.
- The second band (green) gives the second digit: 5.
- The third band (orange) is the multiplier, which is $10^3$.

Thus, the resistance value is calculated as:

$$ 15 \times 10^3 \, \Omega = 15,000 \, \Omega $$

This matches Option 1: $15 \times 10^3 \, \Omega$.

**Explanation for why the other options are incorrect:**

- **Option 2: $1.5 \times 10^3 \, \Omega$**: This option suggests a resistance value of 1,500 Ω. However, the color code calculation gives us 15,000 Ω, not 1,500 Ω. The digits 1 and 5 are correctly interpreted, but the multiplier is $10^3$, not $10^2$.

- **Option 3: 150 Ω**: This option suggests a resistance value of 150 Ω. This would be the case if the multiplier was $10^1$, but the orange band indicates a multiplier of $10^3$, not $10^1$.

- **Option 4: $15 \times 10^4 \, \Omega$**: This option suggests a resistance value of 150,000 Ω. This would require a different multiplier, specifically $10^4$, which is not the case here as the orange band indicates a multiplier of $10^3$.

Therefore, based on the color code interpretation, Option 1 is the correct answer, and the other options do not match the calculated resistance value.