Chapter U5.115, Problem 3E

Interpretation Introduction

Interpretation:

The relationship between frequency and energy should be determined.

Concept introduction:

The number of waves that passes through a fixed point under given time is said to be the wave frequency. Planck gives the relation between frequency and energy of the wave.

Answer to Problem 3E

The frequency and energy are directly proportional to each other.

Explanation of Solution

The relationship between frequency and energy of the light is:

$\text{E}\propto v$

That is higher the frequency of the light, greater is the energy of the light.

$\text{E = h}v$

Where, E is energy, h is Planck’s constant (proportionality constant) having value $6.626\times {10}^{-}{}^{34} \text{ Js}$, and v is frequency.

Conclusion

The frequency and energy are directly proportional to each other.