8) The reason is that MRIs use radio-waves, which are electromagnetic waves with lower frequency, and so lower energy, than X-rays.
In fact, typical frequencies for radio waves are
![f=10-10^9 Hz](https://img.qammunity.org/2019/formulas/physics/college/afx49oba9e5su04jt6115yipvkd7mi10n7.png)
, while X-rays have typical frequencies of
![10^(16) - 10^(19) Hz](https://img.qammunity.org/2019/formulas/physics/college/68bwikswtpewaopby5uutirxtgiwkgp993.png)
. Since the energy of a wave is given by
![E=hf](https://img.qammunity.org/2019/formulas/physics/college/hflxl8iuy7r71wtkxh32clkybih5q2hcns.png)
where h is the Planck constant and f the frequency, we see that the lower the frequency, the lower the energy. Therefore, radiowaves have less energy than X-rays, so they are less ionising and less dangerous than X-rays.
9) The false statement is:
a) gamma-rays are low-frequency waves.
It's actually the opposite, in fact: gamma rays are the electromagnetic waves with higher frequencies (above
![10^(20)Hz](https://img.qammunity.org/2019/formulas/physics/college/mvppay20o9ade1m5sy15r1su57y4uqbev7.png)
).