(i) Detection of fractures in bones
Wave type: X-rays
X-rays have very high energy and short wavelength, which allows them to penetrate soft tissues but get absorbed by dense materials like bones, making fractures clearly visible in medical imaging.
\[
\lambda \approx 10^{-12}\ \text{m} \text{ to } 10^{-8}\ \text{m}
\]
(ii) Physiotherapy
Wave type: Infrared rays
Infrared radiation produces heat energy which is used in physiotherapy to relax muscles, improve blood circulation, and provide therapeutic heat treatment.
\[
\lambda \approx 10^{-6}\ \text{m} \text{ to } 10^{-3}\ \text{m}
\]
(iii) Radar systems
Wave type: Microwaves
Microwaves are used in radar systems because they can travel long distances, reflect well from objects, and are suitable for detecting aircraft, ships, and weather patterns.
\[
\lambda \approx 10^{-3}\ \text{m} \text{ to } 10^{-1}\ \text{m}
\]