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zhannawk [14.2K]
3 years ago
11

A. What is the frequency of blue light that has a wavelength of 450 nm?

Physics
1 answer:
erastova [34]3 years ago
3 0

Answer

a)Given,

Wavelength of blue light = 450 n m = 450 x 10⁻⁹ m

 Speed of light = 3 x 10⁸ m/s

we know,

       c = \nu \lambda

       \nu = \dfrac{c}{\lambda}

       \nu = \dfrac{3\times 10^8}{450\times 10^{-9}}

      \nu = 6.67 \times 10^{14}\ Hz

b)Given,

Wavelength of red light = 650 n m = 650 x 10⁻⁹ m

 Speed of light = 3 x 10⁸ m/s

we know,

       c = \nu \lambda

       \nu = \dfrac{c}{\lambda}

       \nu = \dfrac{3\times 10^8}{650\times 10^{-9}}

      \nu = 4.62 \times 10^{14}\ Hz

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Substituting, we find

n=\frac{0.0014 g}{200.6 g/mol}=7.0\cdot 10^{-6} mol

Now we have to find the number of atoms contained in this sample of mercury, which is given by:

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N=(7.0\cdot 10^{-6} mol)(6.022\cdot 10^{23} mol^{-1})=4.22\cdot 10^{18} atoms

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E_1 = \frac{(6.63\cdot 10^{-34} Js)(3\cdot 10^8 m/s)}{5.08\cdot 10^{-7} m}=3.92\cdot 10^{-19} J

And so, the total energy emitted by the sample is

E=nE_1 = (4.22\cdot 10^{18} )(3.92\cdot 10^{-19}J)=1.64 J

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