Question

The wavelength of light having wave number 4000 cm-1 is

Answer 1

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Answer 2

The wavelength of the light = 2.5μm

Given :

The wave number is $\sf 4000 \: \: {cm}^{ - 1}$

To find :

The wavelength of the light

Solution :

Solution :Step 1 of 2 :

Write down the wave number

Here the wave number is $\displaystyle \sf{4000 \: \: {cm}^{ - 1} }$

Step 2 of 2 :

Calculate the wavelength of the light

The wavelength of the light

$\displaystyle \sf{ = \frac{1}{Wave \: number } }$

$\displaystyle \sf{ = \frac{1}{4000 \: \: {cm}^{ - 1} } }$

$\displaystyle \sf{ = \frac{1}{4000} \: \: cm }$

$\displaystyle \sf{ = \frac{10}{40000} \: \: cm }$

$\displaystyle \sf{ = \frac{10}{4 \times {10}^{4} } \: \: cm }$

$\displaystyle \sf{ = 2.5 \times {10}^{ - 4} \: \: cm }$

$\displaystyle \sf{ = 2.5 \times {10}^{ - 4} \times {10}^{ - 2} \: \: m }$

$\displaystyle \sf{ = 2.5 \times {10}^{ - 6} \: \: m }$

= 2.5 μm

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