Final answer:
Increasing the time constant TR will typically decrease the detail or spatial resolution in an image, such as in MRI, because it increases recovery time and reduces tissue contrast.
Step-by-step explanation:
Increasing the time constant, often denoted as TR, in imaging, particularly in magnetic resonance imaging (MRI), would typically decrease image detail or spatial resolution. This is because a longer TR means the system has a longer recovery time which can lead to less contrast between different tissues and ultimately less detail in the image. In general, for high image detail, one would want a shorter TR to maximize contrast and resolution.