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Supernova! The gas cloud known as the Crab Nebula can be

Chapter 16, Problem 79P

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QUESTION:

Supernova! ?The gas cloud known as the Crab Nebula can be seen with even a small telescope. It is the remnant of a ?supernova, ?a cataclysmic explosion of a star. The explosion was seen on the earth on July 4, 1054 C.E. The streamers glow with the characteristic red color of heated hydrogen gas. In a laboratory on the earth, heated hydrogen produces red light with frequency ) (b) Assuming that the expansion speed has been constant since the supernova explosion, estimate the diameter of the Crab Nebula. Give your answer in meters and in light-years. (c) The angular diameter of the Crab Nebula as seen from earth is about 5 arc minutes (1 arc minute = 1/60 degree)Estimate the distance (in light- ears) to the Crab Nebula, and estimate the year in which the supernova explosion actually took place.

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QUESTION:

Supernova! ?The gas cloud known as the Crab Nebula can be seen with even a small telescope. It is the remnant of a ?supernova, ?a cataclysmic explosion of a star. The explosion was seen on the earth on July 4, 1054 C.E. The streamers glow with the characteristic red color of heated hydrogen gas. In a laboratory on the earth, heated hydrogen produces red light with frequency ) (b) Assuming that the expansion speed has been constant since the supernova explosion, estimate the diameter of the Crab Nebula. Give your answer in meters and in light-years. (c) The angular diameter of the Crab Nebula as seen from earth is about 5 arc minutes (1 arc minute = 1/60 degree)Estimate the distance (in light- ears) to the Crab Nebula, and estimate the year in which the supernova explosion actually took place.

ANSWER:

Solution 79P In this question we need to Find the diameter of Crab Nebula in terms of light year Find the angular diameter of Crab Nebula as seen from earth in about 5 arc minute Find the distance to Crab Nebula The time when the supernova explosion took place Step 1 : Consider the data given Explosion seen on earth = 4th July 1054 CE 14 Frequency of red light f = 4.568 × 10 Hz To find the diameter of the Crab Nebula Let us consider a date of 4th July 2014 to find the diameter From 1054 to 2014 time elapsed is 960.00 years Time in seconds will be 7 t = 960 years × ( 3.16 × 10 s/year) 10 t = 3.0336 × 10 s

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