Difficulty: Easy
Correct Answer: Nanogram
Explanation:
Introduction / Context:
This question tests basic knowledge of the metric system of mass and the ability to recognise an ordered series of units. The sequence shows progressively larger units of mass. The learner must determine which unit logically comes immediately before Microgram in this ascending chain, given the choices provided.
Given Data / Assumptions:
Concept / Approach:
The metric system uses prefixes to indicate powers of ten. For mass, common units around the gram include Nanogram (10^-9 grams), Microgram (10^-6 grams), Milligram (10^-3 grams), Gram, Kilogram (10^3 grams), Quintal, and Tonne. The sequence Microgram, Milligram, Gram clearly moves from smaller to larger units. To extend the pattern backwards, we need an even smaller unit than Microgram, which is Nanogram. Larger units like Kilogram, Quintal, and Tonne belong much higher in the scale and therefore cannot precede Microgram in an ascending series.
Step-by-Step Solution:
Step 1: Recall standard mass units: Nanogram (ng), Microgram (µg), Milligram (mg), Gram (g), Kilogram (kg), Quintal, Tonne.
Step 2: Convert them to powers of ten in grams: Nanogram is 10^-9 grams, Microgram is 10^-6 grams, Milligram is 10^-3 grams, Gram is 1 gram, Kilogram is 10^3 grams and so on.
Step 3: Observe the given series: Microgram (10^-6), Milligram (10^-3), Gram (10^0). This is a clear ascending order from very small to larger.
Step 4: To extend the series backwards, we look for a unit smaller than Microgram. Nanogram at 10^-9 grams fits naturally before Microgram.
Step 5: Therefore, the missing first term must be Nanogram.
Verification / Alternative check:
As an alternative check, think qualitatively about the relative size of the options. Kilogram, Quintal, and Tonne are all much heavier than a single gram and are normally used to measure large masses such as body weight, agricultural produce, or heavy goods. It is impossible for any of these to appear before Microgram in an increasing order. Only Nanogram is a smaller and more precise unit than Microgram, confirming it as the correct choice. The additional distractor Centigram, although a valid metric unit, equals 10^-2 grams and therefore sits between Milligram and Gram, not before Microgram.
Why Other Options Are Wrong:
Kilogram is 1000 grams and is far larger than Gram, so it cannot come before Microgram in an ascending sequence.
Tonne is an even larger unit, typically 1000 kilograms, and is therefore completely out of place before microscopic units.
Quintal is also a heavy unit (often 100 kilograms), again much larger than Gram, so it does not fit at the smallest position.
Centigram equals 0.01 grams and lies between Milligram and Gram, so it does not belong at the very beginning of the series.
Common Pitfalls:
Learners sometimes confuse order among the small prefixes nano, micro, and milli. It is useful to remember that the negative exponent with larger absolute value represents the smaller unit. Another pitfall is thinking only about unit names and not relative sizes, which can lead to choosing familiar terms like Kilogram. Visualising the scale of quantities measured by each unit helps prevent such errors in reasoning questions that involve metric systems.
Final Answer:
The missing unit is Nanogram.
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