Step 1: Understanding the Concept:
This question deals with the relationship between video resolution, monitor resolution, and the physical display size. The key elements are:
- Resolution: The number of pixels in an image or on a screen (e.g., 1920x1080).
- 1:1 Resolution (or 1:1 Pixel Mapping): Each pixel of the video is displayed using exactly one pixel on the monitor.
- Pixel Density (PPI/DPI): The number of pixels per inch on a screen. A higher resolution monitor of the same physical size has a higher pixel density, meaning each individual pixel is physically smaller.
Step 2: Detailed Explanation:
Let's analyze the two scenarios presented.
Scenario 1: Given a video, comparing different monitors (Options A and B).
- We have one video with a fixed resolution, for example, 1280x720 pixels.
- We have two monitors of the same physical size (e.g., 24 inches), but with different resolutions.
- Monitor 1 (Lower Res): 1920x1080.
- Monitor 2 (Higher Res): 3840x2160 (4K).
- Monitor 2 has more pixels packed into the same area, so its pixels are physically smaller.
- When we play the 1280x720 video at 1:1 mapping, it will occupy a grid of 1280x720 pixels on both screens.
- Since the pixels on the higher resolution monitor (Monitor 2) are smaller, the total physical area covered by the 1280x720 grid will also be smaller.
- Therefore, a higher resolution monitor displays the video in a smaller physical size.
- Statement (A) is TRUE.
- Statement (B) is FALSE.
Scenario 2: Given a monitor, comparing different videos (Options C and D).
- We have one monitor with a fixed resolution and fixed pixel size, for example, a 1920x1080 monitor.
- We have two videos with different resolutions.
- Video 1 (Lower Res): 1280x720 pixels.
- Video 2 (Higher Res): 1920x1080 pixels.
- We play both videos at 1:1 mapping on the same monitor.
- Video 1 will occupy a grid of 1280x720 of the monitor's pixels.
- Video 2 will occupy a grid of 1920x1080 of the monitor's pixels.
- Since Video 2 uses more pixels, and each pixel has a fixed physical size, the total physical area it covers on the screen will be bigger.
- Therefore, on a given monitor, a higher resolution video is visible in a bigger size.
- Statement (C) is FALSE.
- Statement (D) is TRUE.
Step 3: Final Answer:
Based on the analysis, statements (A) and (D) are true.