Calculate highest modulating frequency for T.V. system
I'm going to assume that "Interlace ratio is 1:1" means that this is a non-interlaced (i.e., progressive) system.

If the number of active lines per frame is 250, and 10% of the frame time is needed for vertical retrace, then there is a total of 250/.9 = 278 lines per frame.

If the frame rate is 50 Hz, then then line rate is 278&times;50 = 13900 Hz.

If the aspect ratio (active pixels per line / active lines per frame) is 12/9, then the number of active pixels is 250&times;12/9 = 333.

If 20% of the line time is required for horizontal retrace, then there is a total of 333/.8 = 416 pixels per line.

Since the line rate is 13900 Hz, the pixel rate is 13900&times;416 = 5.7824 MHz.

Since it takes two pixels to make a cycle, the highest video frequency is 5.7824 MHz/2 = 2.8912 MHz.

Note that if this were a 2:1 interlaced system, the line rate would be the same, but the number of pixels per line would need to double in order to match the 500-line vertical resolution, and so the pixel rate and highest video frequency would double as well.