Question

Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$

Assertion (A) : The beam of electrons show wave nature and exhibit interference and diffraction 

Reason (R) : Davisson Germer Experimentally verified the wave nature of electrons

In the light of the above statements, choose the most appropriate answer from the options given below :

• A. A is correct but $R$ is not correct
• B. Both $A$ and $R$ are correct but $R$ is Not the correct explanation of $A$
• C. Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$
• D. A is not correct but $R$ is correct

Hint:

Davisson Germer's experiment on electron diffraction was key in proving the wave nature of particles, supporting the theory of wave-particle duality.

Answer 1

The Correct Option is C

The given question consists of two statements: an assertion (A) and a reason (R). Let's analyze both to determine the correct answer:

1. Assertion (A): The beam of electrons shows wave nature and exhibits interference and diffraction.
2. Reason (R): Davisson-Germer experimentally verified the wave nature of electrons.

Explanation:

The assertion (A) states that electron beams can exhibit properties typical of waves, specifically interference and diffraction. This is a correct statement as per the principles of quantum mechanics, where particles like electrons demonstrate wave-particle duality. Such phenomena are cornerstone findings that have been observed in various experiments including interference patterns.

In the reason (R), it is mentioned that the Davisson-Germer experiment verified the wave nature of electrons. This is indeed correct. The Davisson-Germer experiment, conducted in 1927, provided experimental confirmation of electron wave nature through the observation of electron diffraction. This experiment played a pivotal role in demonstrating the wave-like behavior of electrons, confirming hypotheses of de Broglie regarding wave-particle duality.

Since both the assertion and the reason are correct, and the reason (R) accurately explains the phenomenon described in assertion (A), the correct choice is:

Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$

Thus, the given option is precise as it connects the experimental validation of the wave nature of electrons with the broader phenomenon of their interference and diffraction, as stated in the assertion.