What is the correct formula to solve the coefficient p for geographic to grid conversion?

In the context of geographic to grid conversion, the coefficient p plays a crucial role in transforming geographic coordinates into grid coordinates, particularly in projection calculations. The formula provided in the answer utilizes the variable E', which typically represents the eastward deviation from the true meridian, or the east coordinate correction.

The correct formula for calculating p as p = 0.0001(E') implies that the adjustment factor for the grid conversion is directly proportional to this small correction. This factor of 0.0001 is derived from practical applications in geodesy, where precise adjustments are necessary for accurate mapping. This adjustment accounts for the differences caused by earth's curvature and projection distortions, ensuring that the resulting grid coordinates correctly reflect geographical positions.

Other options suggest varying coefficients and different variables, which might not align with standard practices in grid conversions. Such discrepancies can lead to inaccurate calculations when transforming geographic data into a grid system. Using 0.0001 in the formula reflects the precision needed in geodetic engineering when handling transformations, making it vital for ensuring accuracy in various applications, including surveying and mapping.