De Broglie Hypothesis

Concept: De Broglie wavelength:

Step 1: Substitute values.


Step 2: Simplify.

Step 1: Understanding the Concept
According to de Broglie's hypothesis, moving particles like electrons exhibit wave-like properties. The wavelength depends on the momentum of the electron, which is gained through acceleration in an electric potential.

Step 2: Key Formula or Approach
For an electron accelerated through a potential , the shortcut formula for the wavelength in nanometers (nm) is:

Step 3: Detailed Explanation
1. Identify the accelerating potential: .
2. Substitute into the formula:
3. Calculate the square root: .
4. Perform the division:

Step 4: Final Answer
The de Broglie wavelength is approximately 0.153 nm.