High School

The tissue of a cell is 70 Å thick (Å = angstrom unit). If 1 Å = 10⁻¹⁰ m, find the thickness of tissue in terms of an inch. (1 m = 39.4 in)

Answer :

To find the thickness of the tissue in inches, we need to follow a series of conversions from Ångstroms to meters and finally to inches.

Step 1: Convert Ångstroms to meters.

The thickness of the tissue is given as 70 Å. We're informed that 1 Å = 10^{-10} m.

[tex]70 \, \text{Å} = 70 \times 10^{-10} \, \text{m}[/tex]

Thus, in meters:

[tex]70 \, \text{Å} = 7 \times 10^{-9} \, \text{m}[/tex]

Step 2: Convert meters to inches.

We know that 1 meter is equivalent to 39.4 inches.

[tex]7 \times 10^{-9} \, \text{m} \times 39.4 \, \text{in/m} = 2.758 \times 10^{-7} \, \text{inches}[/tex]

So, the thickness of the tissue is approximately [tex]2.758 \times 10^{-7}[/tex] inches.

Therefore, the original tissue thickness of 70 Å is approximately [tex]2.758 \times 10^{-7}[/tex] inches when converted.

Other Questions