Final answer:
The resistance value of a resistor with orange, blue, yellow, and gold bands is calculated based on the color code and is 36,000 ohms, which corresponds to option C.
Step-by-step explanation:
The student's question is about determining the resistance value of a resistor based on its color bands. In this case, the colors are orange, blue, yellow, and gold. For color-coded resistors, each color correlates with a number based on a standardized color code chart. Orange represents 3, blue represents 6, and yellow represents a multiplier of 10,000 (104). Gold indicates a tolerance of ±5%. Using this information, the first two bands (orange and blue) give us the first two digits of the resistor's value, which are 36. The third band (yellow) tells us to multiply that number by 10,000. This calculation gives us a resistance of 360,000 ohms, but since we don't have that option in the choices provided, we must assume there may be a typo and select the closest correct option.
Considering the typical range of resistances, the provided choices suggest that the multiplier should be considered 103 instead (1,000), likely making option C the correct answer, which is 36,000 ohms.