Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 103ms−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 × 103ms−1 (Mass of proton = 1.67 × 10−27 kg and h = 6.63 × 10−34 Js ) : (A) 0.032 nm (B) 0.40 nm (C) 2.5 nm (D) 14.0 nm

Tardigrade Admin · Accepted Answer

λ=(h/mv)=(6.63×10-34/1.67×10-27×103)=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 $h = 6.63 \times 1 0^{- 34} J s$ ) :

$0.032 nm$

$0.40 nm$

$2.5 nm$

$14.0 nm$

$λ = \frac{h}{m v} = \frac{6.63 \times 1 0 ^{- 34}}{1.67 \times 1 0 ^{- 27} \times 1 0 ^{3}} = 0.40 nm$

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 ) :

0.032nm

0.40nm

2.5nm

14.0nm