When rubidium ions are heated to a high temperature, two lines are observed in its line spectrum at wavelengths (a) 7.9 × 10−7 m and (b) 4.2 × 10−7 m. What are the frequencies of the two lines? What color do we see when we heat a rubidium compound?

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Answer:

The frequencies of the two lines are:

a) [tex]3.79\times 10^{14} s^{-1}[/tex]

b)[tex]7.14\times 10^{14} s^{-1}[/tex]

When we heat rubidium compound we will see red color.

Explanation:

[tex]\nu=\frac{c}{\lambda }[/tex]

c = speed of light

[tex]\lambda [/tex] = wavelength of light

a) Frequency of the light when wavelength is equal to [tex]7.9\times 10^{-7} m[/tex]

[tex]\nu=\frac{c}{\lambda }[/tex]

[tex]\nu=\frac{3\times 10^8m/s)}{7.9\times 10^{-7}}[/tex]

[tex]\nu=3.79\times 10^{14} s^{-1}[/tex]

This frequency corresponds to red light

b) Frequency of the light when wavelength is equal to [tex]4.2\times 10^{-7} m[/tex]

[tex]\nu=\frac{c}{\lambda }[/tex]

[tex]\nu=\frac{3\times 10^8m/s)}{4.2\times 10^{-7}}[/tex]

[tex]\nu=7.14\times 10^{14} s^{-1}[/tex]

This frequency corresponds to violet light

When we heat rubidium compound we will see red color.

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