Could someone please help with this question, thank you. A hypothetical object i

Question

Could someone please help with this question, thank you.
A hypothetical object is observed within the field of the galaxy cluster at a distance of 700Mpc. The wavelength of the spectral feature observed in the laboratory at 589nm is found to be 919nm for this object rather than at 683nm for the other objects in this cluster.
Without doing any calculations, explain why we can state with confidence that this object is not part of this cluster, and is actually more distant?

Will this have anything to do with redshift? Please help

Explanation / Answer

Yes, it is related to red shift. 1 + z = wavelength observed / wavelength emitted Also, speed is proportional to z. z is also inversely proportional to cluster Distance. So, (1+ z1) = 919/589 (1+z2) = 683/589 z1 = 330/589 z2 = 94/589 so, z1/z2 = 330/94 So, the object is at distance 700 * 330/94 Mpc = 2457 Mpc. Clearly the distance of the object from the point of observation is much farther than the cluster.

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