A particle moving with a certain velocity has a de-Broglie wavelength of . If the particle has a mass of that of and velocity that of , de Broglie's wavelength of will be:
Step 1. Given data:
The de-Broglie wavelength of = .
Mass of = mass of , ( )
Velocity of = mass of , ( )
Step 2. Formula used:
De Broglie wavelength ,
where plank's constant, are mass and velocity respectively.
Step 3. Calculations:
Also, , ( By putting the values of )
Thus, , ( By putting the value of )
Hence, de Broglie's wavelength of will be .