The colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is:

We need to determine the total resistance value of a carbon resistor based on its color-coding sequence as shown

1. Understand the Carbon Resistor Color Code System

To read the value of a standard 4-band carbon resistor, we use the classic color chart mnemonic system:

2. Decipher the Color Bands

Based on the standard question configuration for this specific problem, the color bands from left to right are Violet, Green, Red, and Gold:

• 1st Band (Violet): Represents the first significant digit = 7
• 2nd Band (Green): Represents the second significant digit = 5
• 3rd Band (Red): Represents the multiplier value = $$10^2$$ (or 100)
• 4th Band (Gold): Represents the tolerance percentage = $$\pm 5\%$$

3. Calculate the Base Resistance and Absolute Tolerance

Base Resistance ($$R$$):

Combine the first two digits and multiply by the multiplier band:

$$R = 75 \times 10^2\ \Omega = 7500\ \Omega$$

Absolute Tolerance ($\Delta R$):

Calculate $$5\%$$ of the base resistance value to get the absolute margin of error:

$$\Delta R = 7500 \times \frac{5}{100} = 75 \times 5 = 375\ \Omega$$

4. Format the Final Expression

Combining the base value and the absolute tolerance gives the complete range representation:

$$\text{Resistance} = (R \pm \Delta R)\ \Omega = (7500 \pm 375)\ \Omega$$

Final Answer: Option A $$(7500 \pm 375)\ \Omega$$