Question

What is the wavelength of infrared in scientific notation?

Answer 1

`7.00 \cdot 10^(-7) m - 1\cdot 10^(-3) m`

Step-by-step explanation:

Infrared radiation has wavelength in the range between 700 nm and 1 mm. Lets' convert these values into scientific notation, keeping in mind that:

`1 nm = 10^(-9) m\\1 mm = 10^(-3) m`

Let's start from the lower value, we have:

`700 nm = 700 \cdot 10^(-9) m = 7.00 \cdot 10^(-7) m` (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

The higher value is:

`1 mm = 1 \cdot 10^(-3) m`

So, the range of wavelength of infrared radiation is:

`7.00 \cdot 10^(-7) m - 1\cdot 10^(-3) m`