Question

The frequency of radiation having a wave number of 2×100000000000000 cm-1 will be x × 1000000000000000000000000 s-1.then the value of x is

Answer 1

Answer:

The value of  X=6×$10^{8}$

Explanation:

• Frequency: It is the number of oscillations occur per unit period of time.
• It is used to define a cyclic processes in particular interval of time.
• Wave number: It is define as the ratio of frequency to the speed of light or it can also be termed as inverse of wave length.
• Wavelength: Wavelength is the distance between two successive crests or troughs or simply it can be define as the distance between peaks. It is measured in the direction of the wave.

Formulas:

frequency  = speed of light / wavelength

or

frequency = speed of light × wave number

There for, we can say prove that ..

Wave number = 1 / wavelength

Calculation:

Given values are ,

frequency = X ×$10^{24}$ $s^{-1}$

wave number = 2 ×$10^{14}$ $cm^{-1}$

and we know that speed of light = 3×$10^{8}$ m/$s^{2}$

so as per the formula mentioned above ,

frequency = speed of light × wave number

X×$10^{24}$= 3×$10^{8}$×2×$10^{14}$

by simplifying and calculating we get..

X= 6×$10^{8}$

By putting this value of X into the value of frequency we can have the exact value of frequency ..

∴ frequency = 6×$10^{8}$× $10^{24}$

                    = 6×$10^{30}$ $s^{-1}$

Answer 2

Answer:

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