A barn is an atomic unit of area equal to 10^-28 m².What is the surface area of the Earth expressed in units of barn? Assume the Earth is a sphere with a radius of km.(The surface area of a sphere is 4πr².) A)5.12 × 10⁴² barn B)5.12 × 10^-20 barn C)5.12 × 10³⁶ barn D)5.12 × 10^-14 barn E)5.12 × 10³⁰ barn

Question

Quizplus · Accepted Answer

The surface area of the Earth, assuming it is a sphere with a radius of 6371 km (or 6.371 × 10^6 meters), can be calculated using the formula 4πr^2. Substituting the radius value, we get 4π(6.371 × 10^6)^2 = 5.1 × 10^14 m^2. Since 1 barn = 10^-28 m^2, converting square meters to barns involves multiplying by 10^28, resulting in 5.1 × 10^14 × 10^28 = 5.12 × 10^42 barns.

A Barn Is an Atomic Unit of Area Equal to 10-28

A Barn Is an Atomic Unit of Area Equal to 10^-28