Q. 20 - Calculus

Question

An isotherm is a curve on a weather map connecting points on the map that have the same temperature. From a point on an isotherm, which direction would result in the greatest temperature change?

Step-by-Step Solution

Answer

The direction resulting in the greatest temperature change will be perpendicular to the isotherm line. 

Step 1. Given Information

An isotherm is a curve on a weather map connecting points on the map that have the same temperature 

Step 2. Explanation

The gradient of temperature change refers to the spacing between two isotherm.

Also, isotherm lines are lines that are always parallel and never cross each other.

So, when isotherm lines are parallel, the distance or spacing between two isotherm lines will be found perpendicular to the two isotherm lines.

Hence, the direction resulting in the greatest temperature change will be perpendicular to the isotherm line.