To create an appearance of motion without flicker, how often must a television frame be completed?

The correct answer reflects the standard requirement for the refresh rate in traditional television broadcasting. In order to create a smooth and continuous appearance of motion without perceptible flicker, the frame should be completed every 1/30 of a second (or 30 frames per second). This refresh rate helps to ensure that motion appears fluid to the human eye.

When frames are displayed at this rate, they overlap in a way that mitigates flicker and enhances the illusion of motion, making it ideal for video display technology used in television. The threshold for perceiving flicker typically occurs at around 16 to 24 frames per second, and 30 frames per second is widely recognized as a standard for most television content to sustain proper visual experience.

The other options present varying refresh rates that are either insufficient for maintaining fluid motion without flicker, such as 1/10 or 1/5 seconds, or may not correspond to standardized broadcast rates, like 1/60 seconds which, while common in some high-definition settings, is not the traditional standard for all television broadcasts. Thus, they do not fulfill the requirement for a flicker-free visual experience in the context asked in the question.