Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 103 ms -1. (Mass of proton =1.67 × 10-27 kg and h =6.63 × 10-34 Js )

Question

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 103 ms -1. (Mass of proton =1.67 × 10-27 kg and h =6.63 × 10-34 Js ) (A) 0.40 nm (B) 2.5 nm (C) 14.0 nm (D) 0.32 nm

Tardigrade Admin · Accepted Answer

λ =(h/m v)=(6.63 × 10-34/1.67 × 10-27 × 1 × 103) =3.97 × 10-10 meter =0.397 nanometer ≈ 0.40 nm

Q. Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 1 0^{3} m s^{- 1}$ . (Mass of proton $= 1.67 \times 1 0^{- 27} k g$ and $h = 6.63 \times 1 0^{- 34} J s$ )

0.40 nm

2.5 nm

14.0 nm

0.32 nm

$λ = \frac{h}{m v} = \frac{6.63 \times 1 0 ^{- 34}}{1.67 \times 1 0 ^{- 27} \times 1 \times 1 0 ^{3}}$
$= 3.97 \times 1 0^{- 10}$ meter
$= 0.397$ nanometer $\approx 0.40 nm$

Q. Calculate the wavelength (in nanometer) associated with a proton moving at 1.0×103ms−1. (Mass of proton =1.67×10−27kg and h=6.63×10−34Js )