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 -

Options

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

Answer

B

Explanation

`(lambda_y)/(lambda_x)=(m_x v_x)/(m_y v_y) implies (lambda_y)/(1) =(m_x v_x)/((0.25 m_x) (0.75 x)) = (16)/(3)`
`lambda _y = 5.33 Å`