Student Exploration: Big Bang Theory – Hubble’s Law ALL ANSWERS 100% CORRECT FALL-2021 SOLUTION AID GRADE A+

Vocabulary: absolute brightness, absorption spectrum, apparent brightness, Big Bang theory, blueshift, Cepheid variable, Doppler shift, Hubble constant, Hubble’s law, luminosity, megaparsec, period, redshift, spectrograph Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Standing by the side of a lonely highway at night, you see two motorcycle headlights, one in each direction. The headlight on your left appears brighter than the one on your right. 1. If the headlights are equally bright, which motorcycle is closer? Explain: 2. Suppose the dim-looking headlight on the right is actually a small light on the front of a bicycle. What can you conclude about the distance of the motorcycle and bicycle? Gizmo Warm-up In 1912, an astronomer named Henrietta Swan Leavitt studied a class of stars called Cepheid variables. These stars change from bright to dim to bright again. Her discoveries led to a method of measuring distances to other galaxies and eventually helped to support the Big Bang theory of the origin of the universe. In the Big Bang Theory – Hubble’s Law Gizmo, select Region A. Look at the image of the Andromeda Galaxy, a galaxy relatively close to our own Milky Way galaxy. 1. Locate the two Cepheid variables, the stars that change in brightness over time. Star A-091 is the yellow star, and A-171 is the white star. A. Which star reaches a greater apparent brightness? B. Which star takes longer to pulse? 2. Because both stars are in the same galaxy, they are about the same distance from Earth. Based on what you see, how is the brightness of the star related to how quickly it pulses? Activity A: Period and brightness Get the Gizmo ready: • On the STARS tab, check that Region A: NGC 224 (Andromeda Galaxy) is selected. If not, click Return to map and select Region A. Introduction: Two factors determine how bright a star appears to an observer: its luminosity, or absolute brightness, and its distance from the observer. A star may appear bright because it is a large, luminous star, or because it is very close. It is only possible to use a star’s apparent brightness to determine its distance if you know the star’s luminosity. Henrietta Leavitt’s work on Cepheids provided the key to solving this problem. Question: How do Cepheids allow astronomers to measure intergalactic distances? 1. Collect data: Locate and select the yellow Cepheid variable star (A-091) in the lower left section of the Andromeda Galaxy. Click the Collect data button. You will see a graph of the apparent brightness of the star over time. A. How does the star’s apparent brightness change over time? B. Turn on Show time probes. Set the left probe at the first brightness peak, and the right probe at the second brightness peak. List the time represented by each probe: Left probe time: Right probe time: C. What is the time difference between the two brightness peaks? This is the period of the Cepheid. D. In the DATA tab, record the name of this star and its period. Do the same on your paper Data worksheet, located on the last page of this document. 2. Collect data: The apparent brightness of the star is shown on the y-axis of the graph. The brightness is given as the ratio of the star’s brightness to the Sun’s brightness if viewed from a standard distance of one megaparsec (1 Mpc), which is about 3.26 million