Question

electromagnetic radiations have wavenumbers into in the ratio 2 is to 3 their energy square will be in the ratio.​

Answer 1

answer is 2:3

..............

Answer 2

Answer:

If wavenumbers of electromagnetic radiations are in the ratio of 2:3, then their energy square will be in the ratio of 4:9.

Explanation:

Given the ratio of wavenumbers for two electromagnetic radiations:

∨₁/∨₂ = 2/3

Now we know,

Energy(E) = hc/∧

where, h = planck's constant

          c = speed of light

          ∧ = wavelength of electromagnetic radiations

Also, ∨ = 1/∧

Thus equation of energy can also be written as: E = hc∨

Now, for two electromagnetic radiations:

E₁/E₂ = hc∨₁/hc∨₂ = ∨₁/∨₂ = 2/3

And their energy square will be:

(E₁/E₂)² = (2/3)² = 4/9

Therefore if wavenumbers of electromagnetic radiations are in the ratio of 2:3, then their energy square will be in the ratio of 4:9.

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