- #1

- 125

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^{-7}m. What would this be in nanometers?

The textbook answer key stated the answer as 500n but I have no idea how that is the answer.

I know that the value of nanometers is 10

^{-9}so I figured you add -7 and -9 to get -16...

Thanks,

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- Thread starter AbsoluteZer0
- Start date

- #1

- 125

- 1

The textbook answer key stated the answer as 500n but I have no idea how that is the answer.

I know that the value of nanometers is 10

Thanks,

- #2

- 157

- 0

[itex] \frac{1 nm}{1 * 10^{-9} m} = 1 [/itex]

[itex] 5.0 * 10^{-7} m = (5.0 * 10^{-7} m) * 1 = (5.0 * 10^{-7} m) * \frac{1 nm}{1 * 10^{-9} m} = ??? [/itex]

Make sure you keep track of units and it will help you avoid these types of mistakes.

- #3

gneill

Mentor

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$$47 cm \times \frac{1 m}{100 cm} = \frac{47}{100}m = 0.47 m$$

Note how the "cm" units cancel in the expression, leaving just m (meters).

Can you apply this method to your problem?

- #4

- 125

- 1

$$47 cm \times \frac{1 m}{100 cm} = \frac{47}{100}m = 0.47 m$$

Note how the "cm" units cancel in the expression, leaving just m (meters).

Can you apply this method to your problem?

Thank you!

I understand it now

- #5

HallsofIvy

Science Advisor

Homework Helper

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This is your basic mistake- this doesn't even make sense! I understand that what you"The average wavelength of white light is 5.0 x 10^{-7}m. What would this be in nanometers?

The textbook answer key stated the answer as 500n but I have no idea how that is the answer.

I know that the value of nanometers is 10^{-9}

"[tex]\frac{1 n}{10^{-9} m}= 1[/tex].

So we can write

[tex] (5.0 \times 10^{-7}m)(1)= \left(5.0 x 10^{-7} m\right)\frac{1 n}{10^{-9} m}[/tex]

The "m" units cancel but we are dividing fractions so "invert and multiply":

[tex](5.0 \times 10^{-7})(10^9) n= 5.0 \times 10^2 m[/tex]

so I figured you add -7 and -9 to get -16...

Thanks,

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