One problem with detecting ultra-high-redshift galaxies photometrically is that

Question

One problem with detecting ultra-high-redshift galaxies photometrically is that there are many interloper galaxies at lower redshifts which show. similar dropouts. in this case, we are looking for a discontinuity in the spectrum, and the wavelength of this discontinuity has an uncertainty Delta lambda that is about the same size as the filter widths. This translates into a redshift uncertainty of Delta z_hi for the high redshift galaxies. Lower redshift galaxies also show a discontinuity. at a rest frame of and the Delta lambda uncertainty on its wavelength corresponds to a redshift. uncertainty of the low-redshift interlopers of Delta _z Show that Delta z_hi 3 times Delta z_

Explanation / Answer

in this question high redshift uncertainty is equal to 3 times that of low redshift but there is no direct relation between this two and the wavelenght here only given the lower redshift discontinuity at a rest frame of 4000A0 only we have the redshift relation (1+z)=1/sqrt(1-v2/c2) for calculating the redshift relation at least we need one more information such as uncetainty in wavelength. so please try to give the entair information that will be in the question a,b or c

thank you

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