When a sample of human blood is diluted 200 time its initial volume and microscopically examined in a layer 0.10 mm thick, an average of 30 RBC are found in `100xx100` micrometer square. The number of RBC in 1 `mm^(3)` of undiluted blood is

Options

A. `10^(6)`
B. `6xx10^(6)`
C. `2xx10^(6)`
D. `3xx10^(6)`

Answer

B

Explanation

Volume of blood
` = (100mu m)xx(100 mu m)xx(0.10 mm)`
`=(0.10 mm)^(3) = 1.0xx10^(-3)mm^(3)`
`RBC mm^(-3) = (30 RBC)/(1.0xx10^(-3)mm^(3))xx200 = 6xx10^(6)`