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Single-grain density and bulk density of four varieties of grains are given in the table. If we take 1 kg of each of these, which one will have the la
Question

Single-grain density and bulk density of four varieties of grains are given in the table. If we take 1 kg of each of these, which one will have the largest volume?

Grain

Single-grain density (g/cm³)

Bulk density (g/cm³)

Rice

1.13

0.56

Wheat

1.39

0.80

Millet

1.27

0.77

Maize

0.97

0.68

A.

Rice

B.

Wheat

C.

Millet

D.

Maize

Correct option is A

Given:

1 kg (1000 grams) of each grain is taken.
Bulk density (g/cm³) of grains is given.
Need to find which grain will have the largest volume.

Formula:
Volume = Mass / Bulk Density
Where Mass = 1000 g for each case.

Solution:

Rice:Volume=10000.561785.71 cm3 Wheat:Volume=10000.80=1250 cm3 Millet:Volume=10000.771298.70 cm3 Maize:Volume=10000.681470.59 cm3 Comparison:1785.71>1470.59>1298.70>1250\text{Rice:} \quad \text{Volume} = \frac{1000}{0.56} \approx 1785.71 \, \text{cm}^3 \\\ \\\text{Wheat:} \quad \text{Volume} = \frac{1000}{0.80} = 1250 \, \text{cm}^3 \\\ \\\text{Millet:} \quad \text{Volume} = \frac{1000}{0.77} \approx 1298.70 \, \text{cm}^3 \\\ \\\text{Maize:} \quad \text{Volume} = \frac{1000}{0.68} \approx 1470.59 \, \text{cm}^3 \\[10pt]\\\ \\\text{Comparison:} \quad 1785.71 > 1470.59 > 1298.70 > 1250 \\[10pt]​​

Final Answer: (a) Rice

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