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Wavelength of characteristic X-ray depen...

Wavelength of characteristic X-ray depends on which property of target?

A

A

B

Z

C

Melting Point

D

All of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine the property of the target that the wavelength of characteristic X-rays depends on, we can follow these steps: ### Step 1: Understand the Production of X-rays X-rays are produced when high-energy electrons collide with a heavy metal target in a cathode ray tube. This interaction is crucial for the generation of both continuous and characteristic X-rays. **Hint:** Consider the mechanism of X-ray production in a cathode ray tube. ### Step 2: Identify the Role of High-Energy Electrons When high-energy electrons strike the target, they undergo deceleration due to the Coulombic interaction with the positively charged nucleus of the target atoms. This deceleration is significant in the production of X-rays. **Hint:** Think about how the electrons interact with the target atoms and what happens during this interaction. ### Step 3: Relate Deceleration to Atomic Number (Z) The degree of deceleration experienced by the electrons is directly related to the atomic number (Z) of the target material. A higher atomic number means a stronger positive charge in the nucleus, leading to greater deceleration of the incoming electrons. **Hint:** Reflect on how the atomic structure influences the interaction between electrons and the target. ### Step 4: Understand the Concept of Cut-off Wavelength When an electron loses all its kinetic energy in a single interaction with the nucleus, it emits X-rays of minimum or cut-off wavelength. This wavelength is inversely proportional to the atomic number (Z) of the target material. **Hint:** Consider the relationship between energy loss and the emitted wavelength. ### Step 5: Conclusion From the above points, we conclude that the wavelength of characteristic X-rays depends on the atomic number (Z) of the target material. Therefore, the correct answer is that the wavelength of characteristic X-rays depends on the atomic number of the target. **Final Answer:** The wavelength of characteristic X-ray depends on the atomic number (Z) of the target material. ---
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