Question

Help !? The wavelengths of visible light are between m and m. Are these wavelengths longer or shorter than those of ultraviolet rays? Explain. (Hint: Make sure that your answer from part a is in scientific notation when comparing the values.) 2 POINTS

Answer 1

between what and what?

Answer 2

...around 390 - 750 nanometers.

Answer 3

A nano-meter is \( 10^{-9} \) meters. Now, if UV light is around \( 10^{-8} - 10^{-9} \) meters, is visible light of longer or shorter wavelength?

Answer 4

Oh My Bad ! its 3.8x10^-7 m And 7.6x10^-7

Answer 5

Right. Hence that's longer or shorter than UV light?

Answer 6

don know , thats what im trying 2 figure out lol

Answer 7

\[ ... > 10^3 > 10^2 > 10^1 > 10^0 = 1 > 10^{-1} = \frac{1}{10} > 10^{-2} > ... 10^{-7} > 10^{-8} > 10^{-9} > ... \]

Answer 8

So is the wavelength of visible light, for example
\[ 3.8x10^{-7} \ m \]
is that number larger or smaller than the wavelength of UV light, for example,
\[ 10^{-8} \ m \] ?

Answer 9

\[ 3.8 \times 10^{-7} \ m \]

Answer 10

Remember:
\[ 10^{-7} > 10^{-8} \]

Answer 11

Uhhh , Smaller ? I Dont Get This -_-

Answer 12

...and that's because
\[ 10^{-8} = 10^{-1} \times 10^{-7} = \frac{1}{10} \times 10^{-7} < 10^{-7} \]

Answer 13

Ok. Let's take a step back. Which is larger: 10^2 or 10^1 ?

Answer 14

10^2 .

Answer 15

right. 10^2 is larger because 10^2 = 100, but 10^1 = 10 and
100 > 10

Answer 16

Now which is larger: 1 or 10^-1 ?

Answer 17

Ok :D Got Tht.

Answer 18

10^-1

Answer 19

No.
\[ 10^{-1} = \frac{1}{10} \]
and 1/10 is less than 1.

Answer 20

make sense?

Answer 21

Ohhh lol Ok

Answer 22

Now, which is larger:
\[ 10^{-10} \] or \[ 10^{-12} \] ?

Answer 23

10^-10?

Answer 24

Yes, because
\[ 10^{-12} = 10^{-2} \times 10^{-10} \]
and
\[ 10^{-2} = \frac{1]{100} \]
Therefore
\[ 10^{-12} < 10^{-10} \]

Answer 25

\[ 10^{-2} = \frac{1}{100} \]

Answer 26

Ohh , Ok

Answer 27

Now, if UV light has a wavelength of around \( 10^{-8} \) meters, and visible light has a wavelength around \( 10^{-7} \), which has the longer wavelength?

Answer 28

10^-7 ?

Answer 29

yes, visible light.

Answer 30

:D

Answer 31

Negative exponents are a bit tricky, but just remember the negative means reciprocal. Hence something like this is true:
\[ 10^{-1} > 10^{-123748123704} \]

Answer 32

Ohhhhh Yea

Answer 33

Hence if
\[ 10^p > 10^q \] then
\[ 10^{-p} < 10^{-q} \]

Answer 34

e.g.,
\[ 10^7 > 10^2 \]
but
\[ 10^{-7} < 10^{-2} \]
because
\[ \frac{1}{10^7} < \frac{1}{10^2} \]

Answer 35

Yea i Get it , So Is My Answer Longer Or Shorter?

Answer 36

:D

Answer 37

10^-7 meters is longer or shorter than 10^-8 meters ?

Answer 38

ohh , longer lol.

Answer 39

Longer, yes.

Answer 40

Thnks :D