Question

Wavelengths of visible light range from 400nm to 750nm. Convert these to m.

a) 4 x 10^-7 m to 7.5 x 10^-7 m
b) 400 m to 750 m
c) 4 x 10^7 m to 7.5 x 10^7 m
d) 0.4 m to 0.75 m

Answer 1

The range of wavelengths for visible light is 400 nm to 750 nm. Conversion can be done by multiplying or dividing by the conversion factor of 1 nanometer (nm) being equal to 1 x 10^-9 meters (m).

Step-by-step explanation:

The range of wavelengths for visible light is 400 nm to 750 nm. To convert these to meters, you can use the conversion factor that 1 nm is equal to 1 x 10^-9 m.

a) 4 x 10^-7 m to 7.5 x 10^-7 m: these values are already given in meters, so no conversion is needed.

b) 400 nm to 750 nm: Multiply each value by the conversion factor: 400 nm x (1 x 10^-9 m/nm) = 4 x 10^-7 m and 750 nm x (1 x 10^-9 m/nm) = 7.5 x 10^-7 m.

c) 4 x 10^7 m to 7.5 x 10^7 m: these values are already given in meters, so no conversion is needed.

d) 0.4 m to 0.75 m: divide each value by the conversion factor: 0.4 m / (1 x 10^-9 m/nm) = 400 nm and 0.75 m / (1 x 10^-9 m/nm) = 750 nm.