A Navigational Beacon in Deep Space Broadcasts at a Radio

question 33

Multiple Choice

A navigational beacon in deep space broadcasts at a radio frequency of 50 MHz.A spaceship approaches the beacon with a relative velocity of 0.40c.The spaceship passes the beacon and departs from it with a DIFFERENT relative velocity.The beacon signal is now detected at a frequency of 40 MHz.What is the new velocity of the spaceship relative to the beacon?

• A) 0.20c
• B) 0.22c
• C) 0.24c
• D) 0.26c
• E) 0.28c

---

Definitions:

Exponentiation

A mathematical operation involving the raising of one number to the power of another.

Variable Substitution

In mathematics, this involves replacing variables with other variables or values to simplify expressions or solve equations.

Mathematical Expression

A combination of numbers, operations, and sometimes variables that represents a mathematical relationship or value.

Exponentiation

The mathematical operation involving the raising of a number to the power of another number.