Question

Given below are two statements :
Statement I: Davisson-Germer experiment establishes the wave nature of electrons.
Statement II: If electrons have wave nature, they can interfere and show diffraction.
In the light of the above statements choose the correct answer from the option given below :

• A. Both statement I and statement II are true.
• B. Both statement I and statement II are false.
• C. Statement I is true but statement II is false.
• D. Statement I is false but statement II is true.

Answer 1

The Correct Option is A

To solve this question, we need to examine each statement separately and then determine if both are true, false, or if one of them is accurate.

1. Statement I: Davisson-Germer experiment establishes the wave nature of electrons.
   • The Davisson-Germer experiment, conducted in 1927, was a significant experiment in solid-state physics, demonstrating the wave nature of electrons.
   • In this experiment, electrons were diffracted by crystals of nickel, producing a pattern that could only be explained if electrons behaved as waves.
   • This experiment provided direct evidence for de Broglie's hypothesis that particles, like electrons, exhibit wave-like properties.

   Hence, Statement I is true.

2. Statement II: If electrons have wave nature, they can interfere and show diffraction.
   • According to wave-particle duality, particles such as electrons can exhibit characteristics of both particles and waves.
   • If electrons behave like waves, they are capable of interference and diffraction, phenomena commonly associated with waves. This was precisely what was observed in the Davisson-Germer experiment.

   Thus, Statement II is also true.

From the above explanation, it is clear that both Statement I and Statement II are true.

Conclusion: The correct answer is that both statements are true, which is the first option given: "Both statement I and statement II are true."