calculate the frquency and wave no of radiation having wavelength =5000A^0
Answers
Answer:
Answer:
Given:
Wavelength (λ) = 5000 Å
To Find:
Wave Number (v)
Solution:
We know that,
\sf Wave\;Number = \dfrac{1}{Wavelength}WaveNumber=
Wavelength
1
Mathematically,
\red{\boxed{\boxed{\sf v = \dfrac{1}{\lambda} }}}
v=
λ
1
We are asked to find Wave Number (v)
Given that,
λ = 5000 Å
Therefore,
Substituting the above value in the given formula
We get,
\implies \sf v = \dfrac{1}{\lambda}⟹v=
λ
1
\implies \sf v = \dfrac{1}{5000 \times 10^-10}⟹v=
5000×10
−
10
1
Since, Å = 10⁻¹⁰ m
\implies \sf v = \dfrac{1}{5 \times 10^-7}⟹v=
5×10
−
7
1
\implies \sf v = \dfrac{10^7}{5}\;m^-1⟹v=
5
10
7
m
−
1
\implies \sf v = \dfrac{1}{5} \times 10^7\;m^-1⟹v=
5
1
×10
7
m
−
1
\implies \sf v = 0.2 \times 10^7\;m^-1⟹v=0.2×10
7
m
−
1
\sf \implies v = 2 \times 10^6\;m^-1⟹v=2×10
6
m
−
1
Or
\implies \sf v = 2000000\;m^-1⟹v=2000000m
−
1
Hence
Wave number of radiation having wavelength 5000 angstrom is 2000000 m⁻¹
Or
2 x 10⁶ m⁻¹