In a Whispering Gallery, Any Sound at One Focus of an Ellipse

question 19

Short Answer

In a whispering gallery, any sound at one focus of an ellipse reflects off the ellipse directly to the other focus. The figure shows an elliptical whispering gallery, where x is the center of the ellipse. What is the distance that sound travels from focus $F_{1}$ to focus $F_{2} ?$

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Definitions:

Dizygotic Twins

Often referred to as fraternal twins, these are siblings born at the same time but developed from two separate eggs fertilized by two different sperm cells.

Zygotes

The initial cell that forms when a sperm cell fertilizes an egg cell, marking the start of human development.

Ovum

The female reproductive cell or gamete in animals, also referred to as an egg cell, that can develop into a new individual following fertilization.

Sperm

Male reproductive cells or gametes in sexually reproducing organisms, involved in fertilizing the ovum to initiate pregnancy.