Question

2.) A microscope is set so it makes an object appear 5 x 10² times larger than its actual size. A virus has a diameter 1.8 x 10^-6 meter. How large will the diameter of the virus appear when viewed under the mīcroscope?

Answer 1

Answer:

$9\times10^{-4}\text{ meters}$

Explanation:

The diameter of the virus is given below:

$1.8\times10^{-6}$

The microscope is set so that the object appears 5 x 10² times larger than its actual size.

Therefore, the diameter of the virus when viewed under the mīcroscope is:

$\begin{gathered} =5\times10^2\times\text{Actual Size} \\ =5\times10^2\times1.8\times10^{-6} \end{gathered}$

We then simplify our result by collecting like terms.

$\begin{gathered} =5\times1.8\times10^2\times10^{-6} \\ =9\times10^{2+(-6)} \\ =9\times10^{2-6} \\ =9\times10^{-4}\text{ meters} \end{gathered}$