The de Broglie wavelength associated with a ball of mass 150 g travelling at 30 m s-1 is

Question

The de Broglie wavelength associated with a ball of mass 150 g travelling at 30 m s-1 is (A) 1.47 × 10-34 m (B) 1.47 × 10-16 m (C) 1.47 × 10-19 m (D) 1.47 × 10-31 m

Tardigrade Admin · Accepted Answer

Mass of the ball, m=150 g=0.15 kg, Speed of the ball, v=30 m s-1 Momentum, p = mv =0.15×30=4.5 kg m s-1 de Broglie wavelength, λ=(h/p)=(6.63×10-34/4.5) =1.47×10-34 m

Q. The de Broglie wavelength associated with a ball of mass $150 g$ travelling at $30 m s^{- 1}$ is

$1.47 \times 1 0^{- 34} m$

$1.47 \times 1 0^{- 16} m$

$1.47 \times 1 0^{- 19} m$

$1.47 \times 1 0^{- 31} m$

Mass of the ball, $m = 150 g = 0.15 k g$ ,
Speed of the ball, $v = 30 m s^{- 1}$
Momentum, $p = m v = 0.15 \times 30 = 4.5 k g m s^{- 1}$ de Broglie wavelength,
$λ = \frac{h}{p} = \frac{6.63 \times 1 0 ^{- 34}}{4.5}$
$= 1.47 \times 1 0^{- 34} m$

Q. The de Broglie wavelength associated with a ball of mass 150g travelling at 30ms−1 is

1.47×10−34m

1.47×10−16m

1.47×10−19m

1.47×10−31m