Wavelength (in mm) corresponds to the frequency of vibration is
λ = 3.467 × 10⁻³ mm.
As we know that
c = λ × ν
where,
c: speed of light
λ: wavelength
ν: frequency
From the question, we know the values of,
c = 3 ×10⁸ m/s
[tex]v = 8.652[/tex] ×[tex]10[/tex]¹³ [tex]Hz[/tex]
thus,
3 × 10⁸ = λ × 8.652 × 10¹³
λ = 8.652 × 10¹³ / 3×10⁸
λ = 3.467 × 10⁻⁶ m
for λ in mm
λ = 3.467×10⁻⁶ × 10³
λ = 3.467 × 10⁻³ mm.
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