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

`9*10^(-4)\text{ meters}`

Step-by-step explanation:

The diameter of the virus is given below:

`1.8*10^(-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*10^2*\text{Actual Size} \\ =5*10^2*1.8*10^(-6) \end{gathered}`

We then simplify our result by collecting like terms.

`\begin{gathered} =5*1.8*10^2*10^(-6) \\ =9*10^(2+(-6)) \\ =9*10^(2-6) \\ =9*10^(-4)\text{ meters} \end{gathered}`