Question

A particle X moving with a certain velocity has a debroglie wave length of 1Å, If particle Y has a mass of 25% that of X and velocity 75% that of X, debroglies wave length of Y will be :

• A. 3 Å
• B. 5.33 Å
• C. 6.88 Å
• D. 48 Å

Answer 1

Answer: (B)

5.33 Å

Answer 2

$\frac{\lambda_{y}}{\lambda_{x}} = \frac{m_{x}v_{x}}{m_{y}v_{y}} \Rightarrow \frac{\lambda_{y}}{1} = \frac{m_{x}v_{x}}{\left( 0.25m_{X} \right)\left( 0.75V_{X} \right)} = \frac{16}{3}$.