Answer:
The wavelength
2.5
×
10
−
9
m
is in the soft X-ray region of the electromagnetic spectrum.
The frequency of the
2.5
×
10
−
9
m
wavelength is
1.2
×
10
17
Hz
.
Explanation:
Photons travel at the speed of light in a vacuum,
3.00
×
10
8
m/s
rounded to three significant figures. The relationship between speed of light
(
c
)
, wavelength
(
λ
)
(pronounced lambda), and frequency
(
ν
)
(pronounced noo), is given mathematically as
c
=
λ
⋅
ν
.
The wavelength
2.5
×
10
−
9
m
is in the soft X-ray region of the electromagnetic spectrum.
2.5
×
10
−
9
m
=
25 Ångströms
http://www.britannica.com/science/soft-X-ray
To find the frequency of a photon with a wavelength of
2.5
×
10
−
9
m
, rearrange the equation to isolate
ν
and solve. The unit for frequency is
1/s
, or Herz (Hz).
ν
=
(
c
λ
)
ν
=
3.00
×
10
8
m
s
2.5
×
10
−
9
m
=
1.2
×
10
17
/s
=
1.2
×
10
17
Hz
