How much greater is the light-collecting area of a 6-meter telescope than a 3-meter telescope? how much greater is the light-collecting area of a 6- telescope than a 3- telescope? two times four times six times

Four times

Explanation:

The amount of light collected by a telescope is proportional to the area of the telescope:

However, the area of the telescope is given by

where R is the radius. This means that the amount of light collected is proportional to the square of the radius of the telescope:

(a similar argument is valid for the diameter, since radius and diameter are proportional to each other).

In the example, the radius of the 2nd telescope is twice (6 m) as the radius of the first telescope (3 m): this means that the amount of light collected will increase by a factor of

So, by a factor 4.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.