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{"ops":[{"insert":"A galaxy cluster of mass 3.0 \u00d7 1013M\u2299 with known distance of 20 Mpc is observed in the centre of a bright ring, which is presumably a lensed galaxy. The angular radius of the ring from the cluster is 1.13 arcmin. The ring is observed to have a redshift of 0.0075. Assuming a value of 70kms\u22121Mpc\u22121 for the Hubble constant, determine whether the ring\u2019s redshift distance is consistent at an accuracy of ~5% to the distance expected for the lensed galaxy to actually be located directly behind the cluster. \n\nEquations: a = 4GM\/bc^2\nV=H0d\n"}]}
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