The de Broglie wavelength of a dust particle of mass 1.0× 10- 9 kg drifting with a speed of 2.2 m s- 1 is

Question

The de Broglie wavelength of a dust particle of mass 1.0× 10- 9 kg drifting with a speed of 2.2 m s- 1 is (A) 3.0× 10- 25m (B) 1.0× 10- 25 m (C) 3.0× 1025 m (D) 1.0× 1025 m

Tardigrade Admin · Accepted Answer

Given, Mass of a dust particle, m=1× 10- 9kg and speed of the dust particle, v=2.2 ms- 1 λ = ( texth/ textmv) = (6 text. 6 3 × 1 0- 3 4/1 × 1 0- 9 × 2 text. 2) =3.0× 10- 25m .

Q. The de Broglie wavelength of a dust particle of mass $1.0 \times 1 0^{- 9} k g$ drifting with a speed of $2.2 m s^{- 1}$ is

$3.0 \times 1 0^{- 25} m$

$1.0 \times 1 0^{- 25} m$

$3.0 \times 1 0^{25} m$

$1.0 \times 1 0^{25} m$

Given, Mass of a dust particle, $m = 1 \times 1 0^{- 9} k g$ and speed of the dust particle, $v = 2.2 m s^{- 1}$
$λ = \frac{h}{mv} = \frac{6 . 63 \times 1 0 ^{- 34}}{1 \times 1 0 ^{- 9} \times 2 . 2}$
$= 3.0 \times 1 0^{- 25} m$ .

Q. The de Broglie wavelength of a dust particle of mass 1.0×10−9kg drifting with a speed of 2.2ms−1 is

3.0×10−25m

1.0×10−25m

3.0×1025m

1.0×1025m