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As a contrast between the old and the modern and between the large and the small, consider the following: In old rural England 1 hide (110 acres) was the area of land needed to sustain one family with a single plough for one year. (An area of 1 acre is equal to 4047 m2.) Also, 1 wapentake was the area of land needed by 100 such families. In quantum physics, the cross-sectional area of a nucleus (defined in terms of the chance of a particle hitting and being absorbed by it) is measured in units of barns, where 1 barn is 1 × 10-28 m2 (exactly). (In nuclear physics jargon, if a nucleus is "large," then shooting a particle at it is like shooting a bullet at a barn door, which can hardly be missed.) What is the ratio of 26 wapentakes to 18 barns?

1 Answer

2 votes

Answer:


6.43023* 10^(35)

Step-by-step explanation:

1 Wapentake


1\ Wapentake=110* 4047* 100=44517000\ m^2

1 barn


1\ barn=1* 10^(-28)\ m^2

The ratio


(26\ Wapentake)/(18\ barn)


=(26* 44517000)/(18* 1* 10^(-28))=6.43023* 10^(35)

The required ratio is
6.43023* 10^(35)

User Mateus Luiz
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