The velocities of two particles A and B are 0.05 and 0.02 ms -1 respectively. The mass of B is five times the mass of A. The ratio of their de-Broglie's wavelength is

Question

The velocities of two particles A and B are 0.05 and 0.02 ms -1 respectively. The mass of B is five times the mass of A. The ratio of their de-Broglie's wavelength is (A) 2: 1 (B) 1: 4 (C) 1: 1 (D) 4: 1

Tardigrade Admin · Accepted Answer

λ=( h / mv ) λ A =( h / m × 0.05) ; λ B =(λ/5 m × 0.02) (λ A /λ B )=(5 m × 0.02/ m × 0.05)=2: 1

Q. The velocities of two particles $A$ and $B$ are 0.05 and 0.02 $m s^{- 1}$ respectively. The mass of $B$ is five times the mass of $A$ . The ratio of their de-Broglie's wavelength is

2: 1

1: 4

1: 1

4: 1

$λ = \frac{h}{m v}$

$λ_{A} = \frac{h}{m \times 0.05}$ ;

$λ_{B} = \frac{λ}{5 m \times 0.02}$

$\frac{λ _{A}}{λ _{B}} = \frac{5 m \times 0.02}{m \times 0.05} = 2 : 1$

Q. The velocities of two particles A and B are 0.05 and 0.02 ms−1 respectively. The mass of B is five times the mass of A. The ratio of their de-Broglie's wavelength is