The wavelength of light is 589 nm. What is its order of magnitude in metres?

# The wavelength of light is 589 nm. What is its order of magnitude in metres?

1. A
$5.89×1{0}^{-7}$m
2. B
$5.89×1{0}^{-6}$m
3. C
$5.89×1{0}^{-12}$m
4. D
$5.89×1{0}^{-5}$m

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### Solution:

:
Concept: Since the supplied wavelength is a very small quantity, its magnitude is expressed in a very small unit. We can determine how many parts of a metre the unit represents by looking at the prefix preceding the metre. The provided number's base-10 portion indicates the order of magnitude.
The size of a number expressed in base ten units is its order of magnitude. The portion of the number in base ten units is hence the order of magnitude.

Order of magnitude is $5.89×1{0}^{-7}m$
So, the correct answer is $5.89×1{0}^{-7}$.
Hence, the correct answer is option 1.

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