Problem 84 - College Algebra

Question

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm using a telescope in which light from distant stars is reflected to the focus of a parabolic mirror.

Step-by-Step Solution

Answer

The statement makes sense. A telescope with a parabolic mirror would reflect light from distant stars to a single focal point, which is how telescopes are designed to work.

Step 1: Understand the principles of a telescope

A telescope is an instrument designed to gather and magnify light in order to observe distant objects. Telescopes often use mirrors as they reflect light to a certain point, the focus point, where the light is then magnified to be observed.

Step 2: Understanding the properties of a parabolic mirror

A parabolic mirror has the property that it reflects incoming light rays (which are parallel to the axis of the mirror) to a single point - this point is known as the focal point. This is the reason why these kinds of mirrors are often used in telescopes: they focus the light from distant stars (which arrives in parallel rays because of the immense distance) to a single point where it can be magnified and observed.

Step 3: Evaluating the statement

Given the properties of a telescope and a parabolic mirror, the statement 'I'm using a telescope in which light from distant stars is reflected to the focus of a parabolic mirror.' makes sense. The use of a parabolic mirror in a telescope aligns with the principles of optics to focus parallel rays of light (from distant stars) to a single point where it can be magnified and observed.