1 cell........ 2 cells (1st mitosis)
2 cells...... 4 cells (2nd mitosis)
4 cells...... 8 cells (3rd mitosis)
8 cells...... 16 cells (4th mitosis)
16 cells.... 32 cells (5th mitosis)
32 cells.... 64 cells (6th mitosis)

Hence 6 mitosis are required to produce 64 cells. Option D) is correct.

Mitotic Divisions required to produce 64 cells from one shoot tip cell of a plant:

To determine the number of mitotic divisions required to produce 64 cells from one shoot tip cell of a plant, we need to consider the process of mitosis and the resulting increase in cell numbers.

Mitosis:
Mitosis is a type of cell division that results in two identical daughter cells with the same number of chromosomes as the parent cell. It is responsible for growth, repair, and asexual reproduction in plants and animals. The process of mitosis involves several distinct stages, including prophase, metaphase, anaphase, and telophase.

Calculation:
To calculate the number of mitotic divisions required to produce 64 cells, we need to determine how many times the original cell needs to divide.

Binary Fission:
In binary fission, a parent cell divides into two equal-sized daughter cells. This process continues, resulting in an exponential increase in cell numbers. Each division doubles the number of cells.

Formula:
The formula to calculate the number of divisions required is:
Number of divisions = log2 (Number of cells)

Using this formula, let's determine the number of divisions required to produce 64 cells:

Number of divisions = log2 (64)
Number of divisions = log2 (2^6)
Number of divisions = 6

Therefore, the correct answer is option (4) 6.