Resistor color code interpretation: A resistor shows bands: red (1st), red (2nd), orange (multiplier), gold (tolerance). Determine its resistance value and tolerance.

Introduction / Context:
Reading resistor color codes is a foundational lab skill. The first two bands encode significant figures, the third band is a power-of-ten multiplier, and the fourth band gives tolerance. Rapid decoding enables quick part identification and verification.

Given Data / Assumptions:

• Band 1: red (digit 2).
• Band 2: red (digit 2).
• Band 3: orange (multiplier 10^3).
• Band 4: gold (tolerance ±5%).

Concept / Approach:
Use the standard 4-band code: value = (first digit * 10 + second digit) * 10^(multiplier). Tolerance is looked up from the fourth band. Ensure commas for readability when expressing thousands.

Step-by-Step Solution:
Form the base number: red-red → 22.Apply multiplier: orange → 10^3 → 1000.Compute resistance: 22 * 1000 = 22,000 ohms.Tolerance: gold → ±5%.

Verification / Alternative check:
Cross-check with standard tables or mnemonic (e.g., Black 0, Brown 1, Red 2, Orange 3, …; Gold ±5%). The interpretation is consistent.

Why Other Options Are Wrong:
(a) and (b) use 220 Ω, which would require a red-red-brown pattern. (d) Gives ±10% tolerance (silver), not gold. (e) Incorrect because a correct choice exists.

Common Pitfalls:
Confusing orange (3) with red (2), misreading gold vs silver tolerance, or misplacing the multiplier band order.

Final Answer:
22,000 Ohm, 5%.