A galaxy lies one giga-parsec from the Earth. Directly behind it, and two giga-parsecs from the Earth is a quasar. The gravity lenses the quasar light so that the quasar appears as a ring of radius one arc-second around the galaxy, as viewed from the Earth (a so-called "Einstein Ring"). What is the mass of the galaxy?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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A galaxy lies one giga-parsec from the Earth. Directly behind it, and two giga-parsecs from the
Earth is a quasar. The gravity lenses the quasar light so that the quasar appears as a ring of
radius one arc-second around the galaxy, as viewed from the Earth (a so-called "Einstein
Ring"). What is the mass of the galaxy?
You many neglect the expansion of space, and assume that a giga-parsec is 3.08 · 1025 m,
G = 6.67 · 10-11 m³ kg¬1 s-1, and c =
3.0 · 108 m s-1.
4GM
a =
where a is the radius, in radians.
Dc2
Answer.
1.384e49
3.589e23
4.884e41
5.282e19
7.383e73
Transcribed Image Text:A galaxy lies one giga-parsec from the Earth. Directly behind it, and two giga-parsecs from the Earth is a quasar. The gravity lenses the quasar light so that the quasar appears as a ring of radius one arc-second around the galaxy, as viewed from the Earth (a so-called "Einstein Ring"). What is the mass of the galaxy? You many neglect the expansion of space, and assume that a giga-parsec is 3.08 · 1025 m, G = 6.67 · 10-11 m³ kg¬1 s-1, and c = 3.0 · 108 m s-1. 4GM a = where a is the radius, in radians. Dc2 Answer. 1.384e49 3.589e23 4.884e41 5.282e19 7.383e73
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