the thickness of a human hair is 0.0023 in. convert it to an si standard unit. write it in scientific…

the thickness of a human hair is 0.0023 in. convert it to an si standard unit. write it in scientific notation.\n1.59 × 10⁻² m\n1.5 × 10⁻⁴ cm\n1.3 × 10⁻¹ cm\n3.8 × 10⁻⁵ m\nsubmit\nprevious answer\npart b complete previous part(s)\npart c complete previous part(s)\npart d complete previous part(s)\npart e complete previous part(s)\npart f complete previous part(s)\nfinish session

the thickness of a human hair is 0.0023 in. convert it to an si standard unit. write it in scientific notation.\n1.59 × 10⁻² m\n1.5 × 10⁻⁴ cm\n1.3 × 10⁻¹ cm\n3.8 × 10⁻⁵ m\nsubmit\nprevious answer\npart b complete previous part(s)\npart c complete previous part(s)\npart d complete previous part(s)\npart e complete previous part(s)\npart f complete previous part(s)\nfinish session

Answer

Explanation:

Step1: Recall conversion factor

1 inch = 0.0254 m.

Step2: Convert 0.0059 inches

$0.0059\times0.0254 = 1.4986\times10^{-4}$ m. Rounding to two - significant figures gives $1.5\times10^{-4}$ m.

Step3: Check centimeter conversion

1 m = 100 cm. So $1.5\times10^{-4}$ m = $1.5\times10^{-2}$ cm.

Answer:

There is no correct option among the given ones. If we assume a typo in the problem - statement and the thickness is 0.059 in, then:

  1. First, convert 0.059 in to m:
    • Using the conversion factor 1 in = 0.0254 m, we have $0.059\times0.0254= 1.4986\times10^{-3}$ m $\approx1.5\times10^{-3}$ m.
    • In cm, $1.5\times10^{-3}$ m $\times100 = 1.5\times10^{-1}$ cm. So if the original value was 0.059 in, the correct answer for cm conversion is $1.5\times10^{-1}$ cm.