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*24-9 . A typical simple infrared spectrophotometer covers a wavelength range from 3 to 15 jum Express its range (a) in wavenumbers and (b)in hertz. 24-10 Calculate the frequency in hertz and the energy in joules of an X-ray photon with a wavelength of 2.70stackrel (circ )(A) 2411. Calculate the wavelength and the energy in joules associated with a signal at 220 MHz.
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Let's correct and clarify the calculations for each part of the problem:### 24-9(a) **Wavenumbers:**Wavenumber (
) is the reciprocal of wavelength (
):
Given the wavelength range from 3 to 15
:
So, the range in wavenumbers is approximately
to
.(b) **Hertz:**Frequency (
) is the speed of light (
) divided by the wavelength (
):
Given the speed of light
:
So, the range in hertz is approximately
to
.### 24-10**Frequency and Energy of an X-ray Photon:**Given the wavelength
:(a) **Frequency:**
(b) **Energy:**Using Planck's constant
:
So, the frequency is
and the energy is
.### 24-11**Wavelength and Energy of a Signal at 220 MHz:**(a) **Wavelength:**
(b) **Energy:**
So, the wavelength is
and the energy is
.