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Q.

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

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a

5.89 \times 1 0^{- 7}

m

b

5.89 \times 1 0^{- 6}

m

c

5.89 \times 1 0^{- 12}

m

d

5.89 \times 1 0^{- 5}

m

answer is A.

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Detailed 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.

1 nm = 1 0^{- 9} nm  So, 589 nm = 589 \times 1 0^{- 9} m \Rightarrow 589 nm = 5.89 \times 1 0^{- 7} m

Order of magnitude is

5.89 \times 1 0^{- 7} m

So, the correct answer is

5.89 \times 1 0^{- 7}

.
Hence, the correct answer is option 1.

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