For each of the questions, four choices have been provided. Select the correct alternative. The difference in energy of radiation emitted (or) absorbed during electronic transition is (a) directly proportional to frequency (b) directly proportional to wavelength (c) inversely proportional to frequency (d) inversely proportional to velocity of light

Short Answer

Expert verified
Answer: (a) directly proportional to frequency

Step by step solution

01

Planck's equation

Recall the Planck's equation: E = h * f, where E is the energy of radiation, h is the Planck constant, and f is the frequency of radiation. From this equation, we can see that the energy is directly proportional to the frequency.
02

Frequency and wavelength relationship

Recall the equation relating frequency (f) and wavelength (λ): c = λ * f, where c is the speed of light. We can rewrite this equation to find the frequency of radiation: f = c / λ.
03

Substitute the frequency in the Planck's equation

Using the relationship from Step 2, substitute the frequency (f) in the Planck's equation: E = h * (c / λ). This equation shows that the energy is inversely proportional to the wavelength.
04

Select the correct alternative

Based on Steps 1 and 3, the energy of radiation emitted or absorbed during electronic transitions is directly proportional to the frequency and inversely proportional to the wavelength. Thus, the correct alternative is (a) directly proportional to frequency.

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