Magnetic resonance imaging, or mri (see section 21.7), and positron emission tomography, or pet scanning (see section 32.6), are two medical diagnostic techniques. both employ electromagnetic waves. for these waves, find the ratio of the mri wavelength (frequency = 6.38 × 107 hz) to the pet scanning wavelength (frequency = 1.23 × 1020 hz).

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

=

or

=

or

Ratio of the MRI wavelength to the PET scanning wavelength = 1.92 × 10¹²

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632