Answer:
1.92 × 10¹²
Step-by-step explanation:
Given:
Frequency of the MRI, f₁ = 6.38 × 10⁷ Hz
thus,
the wavelength = C / f
where,
C is the speed of the light
therefore,
wavelength of the electromagnetic wave by MRI, λ₁ = C / f₁
or
λ₁ = C / 6.38 × 10⁷ Hz
now,
Frequency of the PET, f₂ = 1.23 × 10²⁰ Hz
Thus,
wavelength of the electromagnetic wave by PET, λ₂ = C / f₂
or
λ₂ = C / 1.23 × 10²⁰ Hz
therefore,
the ratio of the MRI wavelength to the PET scanning wavelength
= λ₁ / λ₂
or
= [tex]\frac{\frac{C}{6.38\times10^7}}{\frac{C}{1.23\times10^{20}}}[/tex]
or
= [tex]\frac{1.23\times10^{20}}{6.38\times10^7}[/tex]
or
Ratio of the MRI wavelength to the PET scanning wavelength = 1.92 × 10¹²
