Sony a5000 has a Sony E lens mount and currently there are 83 native lenses available for this mount.
Sony a5000 doesn't have a sensor based image stabilization system but 23 of these lenses already comes with optical image stabilization.
Since Sony a5000 has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on a5000.
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Sony a5000 Lenses with Image Stabilization
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