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

Answer:

Energy, $E=2.65\times 10^{-25}\ J$

Explanation:

It is given that,

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

$\nu=400\ MHz=400\times 10^6\ Hz=4\times 10^8\ Hz$

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

$E=h\nu$

$E=6.63\times 10^{-34}\ J-s\times 4\times 10^8\ Hz$

$E=2.65\times 10^{-25}\ J$

So, the energy of the photon is $2.65\times 10^{-25}\ J$. Hence, this is the required solution.