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It is not needed, as the D5100 has a UV filter on the image sensor, but it can be installed for protection of the front element.
I would recommend:
Sorry, there was a problem. Please try again later.Please click on the link below for compatible filters for the lens: http://www.nikonusa.com/Nikon-Products/Product/Camera-Lenses/2161/AF-S-VR-Zoom-Nikkor-70-300mm-f%252F4.5-5.6G-IF-ED.html#tab-ProductDetail-ProductTabs-Accessories
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