Pad * 84% - 8:06 PM instructure-uploads,s3.amazonaws.com 56 Luminosity, Temperat

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Pad * 84% - 8:06 PM instructure-uploads,s3.amazonaws.com 56 Luminosity, Temperature, and Size 5) Two students are discussing their answers to Question4 Student 1 In 1D, the hot plate on the left cooks the spaghetti quicker than the one on the right even though it is smaller. The hot plate's higher temperature is what makes it cook the spaghetti more quickly But the size of the hot plate also plays a part in making it cook fast. If the hot plate on the left were the size of a penny, the spaghetti would takea really long time to cook. I bet that if the size difference were great enough, the one at the lower temperature could cook the spaghetti first Student 2: Do you agree or disagree with either or both of the students? Explain your reasoning The time it takes for the spaghetti to cook is determined by the rate at which the hot plate transfers energy to the pot. This rate is related to both the temperature and the size of the hot plate. For stars, the rate at which energy is given off is called luminosity. Similar to the above example, a star's luminosity can be increased by increasing its temperature; and/or increasing its surface area (or size) This relationship between luminosity, temperature, and size allows us to make comparisons between stars. 6) If two hot plates have the same temperature and one cooks the pot of spaghetti more quickly, what can you conclude about the sizes of the hot plates? 7) Likewise, if two stars have the same surface temperature and one is more luminous what can you conclude about the sizes of the stars? 8) If two stars have the same surface temperature and are the same size, which star, if either, is more luminous? Explain your reasoning © 2013 Pearson Education, Inc. LECTURE-TUTORIALS FOR INTRODUCTORY ASTRONOMY THIRD EDITION

Explanation / Answer

5) I agree with both the students.

The rate at which the energy is given off is called luminosity.It can increase with

i) increase in temperature, and

ii) increase of surface area.

Student 1: Hot plate on the left cooks spaghetti quicker than one on the right even though it is smaller. The hot plates higher temperature makes it cook more quickly.

When two hot plates having different size but same temperature, the larger the size of the plate, cook faster. Here Smaller plate cooks faster. It is possible when the temperature is higher.

So,this statement is Correct.

Student 2: The size of the hot plate also playes a part in making it cook fast. If the hot plate on the left were the size of a penny the spaghetti would take a really long time to cook.

Here the hot plate on the left were the size of a penny, i.e., its size is decreased greatly. As, size is decreased it will take a long time to cook.

I bet that if the size difference were great enough, one at the lower temperature could cook the spaghetti first.

If the size difference is great enough, i.e., if the size is very very greater than the present size, then one at the lower temperature could cook the spaghetti first.

So, this statement is also correct.

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