Question

The MRI (Magnetic Resonance Imaging) body scanners used in hospitals operate at a frequency of 400 MHz (M = 106 ). Calculate the energy for a photon having this frequency. For credit show all your work including correct units.

Answer 1

Energy,
`E=2.65* 10^(-25)\ J`

Step-by-step explanation:

It is given that,

The MRI (Magnetic Resonance Imaging) body scanners used in hospitals operate at a frequency of 400 MHz,

`\\u=400\ MHz=400* 10^6\ Hz=4* 10^8\ Hz`

We need to find the energy for a photon having this frequency. The energy of a photon is given by :

`E=h\\u`

`E=6.63* 10^(-34)\ J-s* 4* 10^8\ Hz`

`E=2.65* 10^(-25)\ J`

So, the energy of the photon is
`2.65* 10^(-25)\ J`. Hence, this is the required solution.