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

Question

Calculate the wavelength (in nanometre) associated with a proton moving at 1.0 × 103 m s -1. (Mass of proton =1.67 × 10-27 kg and .h=6.63 × 10-34 J s ) (A) 0.032 (B) 0.40 (C) 2.5 (D) 14.0

Tardigrade Admin · Accepted Answer

According to de Broglie's equation, λ=(h/m v) ∴ λ=(6.63 × 10-34/1.67 × 10-27 × 1.0 × 103)=3.97 × 10-10 m ≈ 0.4 nm

Q. Calculate the wavelength (in nanometre) 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

0.40

2.5

14.0

According to de Broglie's equation, $λ = \frac{h}{m v}$

$∴ λ = \frac{6.63 \times 1 0 ^{- 34}}{1.67 \times 1 0 ^{- 27} \times 1.0 \times 1 0 ^{3}} = 3.97 \times 1 0^{- 10} m \approx 0.4 nm$

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

0.032

0.40

2.5

14.0

According to de Broglie's equation, λ=mvh​ ∴λ=1.67×10−27×1.0×1036.63×10−34​=3.97×10−10m≈0.4nm

Q. Calculate the wavelength (in nanometre) 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 $h = 6.63 \times 1 0^{- 34} J s)$

According to de Broglie's equation, $λ = \frac{h}{m v}$

$∴ λ = \frac{6.63 \times 1 0 ^{- 34}}{1.67 \times 1 0 ^{- 27} \times 1.0 \times 1 0 ^{3}} = 3.97 \times 1 0^{- 10} m \approx 0.4 nm$