Difficulty: Easy
Correct Answer: Work : Joule
Explanation:
Introduction / Context:
This analogy involves physics concepts and SI units. The pair “Current : Ampere” links a physical quantity (electric current) with its standard SI unit (ampere). We must select another pair where the first term is a well known physical quantity and the second term is its correct SI unit, creating an analogous relationship.
Given Data / Assumptions:
Concept / Approach:
The central idea is “physical quantity : its SI unit”. Electric current is measured in amperes. For the analogy to hold, the second pair must follow “another physical quantity : its own SI unit”. We review each option to see which one correctly matches. Many options deliberately pair a quantity with an incorrect or unrelated unit to test conceptual clarity.
Step-by-Step Solution:
Step 1: Confirm the first relationship. Electric current is a physical quantity that we measure using the SI unit ampere (symbol A).
Step 2: Examine each option.
Air : Kilogram – air is a mixture of gases; kilogram is a unit of mass, not a specific SI unit dedicated to air.
Work : Joule – work is a physical quantity; its SI unit is the joule (symbol J), which equals newton metre.
Pressure : Speed – pressure and speed are both physical quantities; neither is a unit of the other.
Temperature : Metre – temperature is measured in kelvin (or degrees Celsius in everyday use), not in metres, which measure length.
Step 3: Only Work : Joule matches the pattern “quantity : correct SI unit”.
Verification / Alternative check:
We can write out the valid SI pairs: current–ampere, work–joule, pressure–pascal, temperature–kelvin, length–metre. The only combination in the options that appears exactly as a valid SI pair is work–joule. Air–kilogram is not a standard physical quantity–unit pair and the other options mix distinct quantities or mismatched units. This confirms that work : joule is the correct parallel to current : ampere.
Why Other Options Are Wrong:
• Air : Kilogram – kilogram measures mass; air is not a specific physical quantity defined by kilogram alone.
• Pressure : Speed – both are quantities, so the second is not a unit of the first; they cannot stand in the same relation.
• Temperature : Metre – metre measures length, not temperature, which breaks the quantity–unit relationship.
Common Pitfalls:
Students sometimes overlook the requirement that the second word must be a unit, not another quantity. Another common error is confusing everyday associations (for example, thinking of air and kilograms in terms of weight) with formal SI definitions. Keeping a short mental list of core SI pairs helps quickly identify the only option here that fits: work and joule.
Final Answer:
The correct related pair is Work : Joule.
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