Concepts Of Physics MCQ Edition [Volume 2]PhysicsX-rays
Identify the correct statements.
Options
- AFor a given material, the wavelength of a K_ X-ray is shorter than the wavelength of a K_ X-ray.
- BA K X-ray is emitted when a hole transitions from the K shell to another shell.
- CFor a given material, the wavelength of a K X-ray is shorter than the wavelength of an L X-ray.
- DAn atom containing a vacancy possesses less energy than a neutral atom.
Correct answer
C. For a given material, the wavelength of a K X-ray is shorter than the wavelength of an L X-ray.
Step-by-step solution
The energy of a K_ X-ray (transition from M shell to K shell) is greater than the energy of a K_ X-ray (transition from L shell to K shell). Since E = hc , the wavelength of a K_ X-ray is shorter than that of a K_ X-ray. Thus, statement (1) is incorrect. A K X-ray is emitted when an electron transitions from a higher energy shell (like L or M ) to a vacancy in the K shell. This process can equivalently be described as a hole transitioning from the K shell to a higher shell. Thus, statement (2) is correct. The energ