a possible wavelength for the color blue is 0.000000492 meter. which of the following is a reasonable…

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?\na. 5×10^(-8) m\nb. 5×10^7 m\nc. 5×10^6 m\nd. 5×10^(-7) m

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?\na. 5×10^(-8) m\nb. 5×10^7 m\nc. 5×10^6 m\nd. 5×10^(-7) m

Answer

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})