Step 1: Understanding the Question:
We are given five units of mass and asked to arrange them in a meaningful order. The most logical meaningful order is either ascending (smallest to largest) or descending (largest to smallest) by value.
Step 2: Key Formula or Approach:
To compare the units, we should convert them all to a common base unit, such as the gram (g).
- 1 Tonne (t) = 1000 kilograms = 1,000,000 g
- 1 Hectogram (hg) = 100 g
- 1 Decagram (dag) = 10 g
- 1 Gram (g) = 1 g
- 1 Decigram (dg) = 0.1 g
- 1 Centigram (cg) = 0.01 g
- 1 Milligram (mg) = 0.001 g
Step 3: Detailed Explanation:
Let's list the given units and their values in grams:
1. Hectogram = 100 g
2. Milligram = 0.001 g
3. Decagram = 10 g
4. Tonne = 1,000,000 g
5. Decigram = 0.1 g
Now, let's arrange them in ascending order (from smallest to largest):
- Milligram (0.001 g) $\rightarrow{}$ No. 2
- Decigram (0.1 g) $\rightarrow{}$ No. 5
- Decagram (10 g) $\rightarrow{}$ No. 3
- Hectogram (100 g) $\rightarrow{}$ No. 1
- Tonne (1,000,000 g) $\rightarrow{}$ No. 4
The ascending order sequence is 2, 5, 3, 1, 4.
Let's check this sequence against the given options.
Option (C) is 2, 5, 3, 1, 4, which matches our derived ascending order.
For completeness, the descending order (largest to smallest) would be 4, 1, 3, 5, 2. This is not among the options.
Step 4: Final Answer:
The correct meaningful order (ascending by weight) is Milligram, Decigram, Decagram, Hectogram, Tonne, which corresponds to the sequence 2, 5, 3, 1, 4.