Question

The density of atmosphere (measured in kilograms/meter^3) on a certain planet is found to decrease as altitude increases (as measured from the planet's surface). What type of relationship exists between the altitude and the atmospheric density, and what would the atmospheric density be at an altitude of 1,291 kilometers?

A. inverse plot, 0.45 kilograms/meter^3
B. inverse plot, 0.51 kilograms/meter^3
C. quadratic plot, 1.05 kilograms/meter^3
D. inverse plot, 1.23 kilograms/meter^3
E. inverse plot, 0.95 kilograms/meter^3

Answer 1

Answer : The correct option is (A)  " inverse plot,  $0.45\ kg/m^3$ ".

Explanation:

The atmospheric density is defined as the mass of the per unit volume of the atmosphere of earth. It is measured in $kg/m^3$.

The atmospheric density on a certain planet is found to decrease as altitude increases. So, there is an inverse relationship between the density and the altitude.

From the attached graph, it is clear that there will an inverse plot for altitude vs atmospheric density.

Let point M in the graph shows 1,291 km. So, density at point M should be in between $0.30\ kg/m^3$ and less than $0.54\ kg/m^3$

So, the density can be $0.45\ kg/m^3$

Out of given options, the correct one must be (A) because the point M lies closer to point A.

So, correct option is (A) " inverse plot,  $0.45\ kg/m^3$ ".