JEE Main 2023 · 8 April · evening · Single correct · +4 / −1
The waves emitted when a metal target is bombarded with high energy electrons are
- (a) Infrared rays
- (b) Radio Waves
- (c) Microwaves
- (d) X-rays
Answer and solution
Answer (d) X-rays
Solution
Physics sir · 4 steps
Fast electrons slamming into metal give up keV-sized energy packets, and photons that big are X-rays.
- What happens. Electrons accelerated through tens of kilovolts hit the target and are stopped suddenly. They also knock out inner-shell electrons of the metal atoms. Both processes release photons.
- Size of the photon. An electron accelerated through V volts carries energy eV, so the most energetic photon it can produce has λₘᵢₙ = hc/eV.
λₘᵢₙ = 12400/V Å ⇒ V = 30 kV gives λₘᵢₙ ≈ 0.41 Å
- Place it. Wavelengths around 0.1 to 10 Å lie in the X-ray band. Infrared, microwaves and radio waves have wavelengths thousands of times longer, so their photons carry far too little energy to come from this process.
- So. The waves emitted are X-rays, option (d). This is exactly how an X-ray tube (Coolidge tube) works.
The idea to keep. Match the photon energy to the source. Electrons with keV energies give X-rays, while slow molecular vibrations and rotations give infrared and microwaves.
Answer from the NTA final answer key. Solution by PrepWiser.