🎁Question 9- An electron, an alpha particle and a proton have the same kinetic energy. Find ratio of de Broglie wavelength? (Physics 2019-20 2Marks AMU +2)

 

💥de Broglie wave has many equation:

1. λ= h/mv

2. λ=h/√2mk

3. λ=h/√2mv

here we will use 3. eq

i.e.   $\frac{{\lambda }_{proton}}{{\lambda }_{alpha}}=\sqrt{\frac{m_{alpha}}{m_{proton}}}$

$m_{alpha}=4m_{proton}$
So,

$\frac{{\lambda }_{proton}}{{\lambda }_{alpha}}=\sqrt{\frac{m_{alpha}}{m_{proton}}}=\sqrt{\frac{4}{1}}=2$