Step 1: Understanding de-Broglie’s Hypothesis
Louis de-Broglie proposed that particles such as electrons could exhibit wave-like behavior.
He derived the equation for the de-Broglie wavelength , which is given by: Where:
is the de-Broglie wavelength,
is Planck's constant,
is the momentum of the particle.
Step 2: Explanation of Other Options
Option (b) is incorrect because it represents a sum of and , which is not the correct de-Broglie expression.
Option (c) is incorrect because it represents a difference between and , which is also incorrect.
Option (d) repeats option (a), which is correct.
Step 3: Conclusion Thus, the correct de-Broglie expression is .