Question

a possible wavelength for the color blue is 0.000000492 meter. which of the following is a reasonable estimate for this wavelength for the color blue?
a. 5×10^(-8) m
b. 5×10^7 m
c. 5×10^6 m
d. 5×10^(-7) m

Explanation:

Step1: Convert the given number to scientific - notation

The given number is \(0.000000492\). To convert it to scientific - notation, we move the decimal point to the right until we have a number between \(1\) and \(10\). We move the decimal point \(7\) places to the right, so \(0.000000492 = 4.92\times10^{-7}\).

Step2: Make an estimate

Since \(4.92\approx5\), the reasonable estimate for \(0.000000492\) in scientific - notation is \(5\times10^{-7}\).

Answer:

D. \(5\times 10^{-7}\text{ m}\)