Calculate the wavelength in nanometer associated with a proton moving at 1-0- 103 ms-1Mass of proton -1-67- 10-27 kg Planck-s constant h - 6-63- 10-34 Js

According to de Broglie hypothesis, λ = h/mv where, h = Planck's constant = nbsp;6.63× 10^ 34 Js m = mass of the object = nbsp;1.67× 10^ 27 kg v = velocity ...

You visited us 19 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XIII

Chemistry

De Broglie's Hypothesis

Calculate the...

Question

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^{3} m s^{- 1}$
$(Mass of proton = 1.67 \times 10^{- 27} k g$ )
$(Planck's constant (h) = 6.63 \times 10^{- 34} J s)$

0.40 nm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1.5 nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10.0 nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2.3 nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 0.40 nm
According to de-Broglie hypothesis,
$λ = \frac{h}{m v}$
where,
h = Planck's constant $= 6.63 \times 10^{- 34} J s$
m = mass of the object $= 1.67 \times 10^{- 27} k g$
v = velocity of object $= 1000 m / s$
Substituting the values,
$λ = \frac{6.63 \times 10^{- 34}}{1.67 \times 10^{- 27} \times 1000}$
$= 3.97 \times 10^{- 10} m$
$= 0.397 n m \approx 0.40 n m$

Suggest Corrections

Similar questions

Q. Calculate the wavelength (in nanometer) associated with a proton moving at

1.0 \times 10^{3} {m s}^{- 1}

.
(Mass of proton

= 1.67 \times 10^{- 27} k g

and

h = 6.63 \times 10^{- 34} J s

)

Q. Calculate the wavelength (in nanometer) associated with a proton moving at

1.0 \times 10^{3} m s^{- 1}

(Mass of proton = 1.67 \times 10^{- 27} k g

)

(Planck's constant (h) = 6.63 \times 10^{- 34} J s)

Q. The wavelength of de broglie waves associated with a beam of protons of kinetic energy

5 \times 10^{2}

eV.
(Mass of each photon

= 1.67 \times 10^{- 27}

Kg,

h = 6.62 \times 10^{- 34}

Js.)

Q. Calculate the wavelength of de-Broglie waves associated with a neutron at room temperature of

27^{\circ} C

. Given the mass of the neutron,

m = 1. 67 \times 10^{- 27} kg

, Boltzmann constant,

k = 1.38 \times 10^{- 23} {J K}^{- 1}

and

h = 6.6 \times 10^{- 34} Js

The de-Broglie wavelength associated with a particle of mass $10^{- 6}$ kg moving with a velocity of $10 m s^{- 1}$ , is

Join BYJU'S Learning Program

Explore more

De Broglie's Hypothesis

Standard XIII Chemistry

Join BYJU'S Learning Program

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

The correct option is A 0.40 nmAccording to de-Broglie hypothesis, λ=hmv where, h = Planck's constant =6.63×10−34 Js m = mass of the object =1.67×10−27 kg v = velocity of object =1000 m/s Substituting the values, λ=6.63 × 10−341.67 × 10−27 × 1000 =3.97×10−10 m =0.397 nm≈0.40 nm

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^{3} m s^{- 1}$
$(Mass of proton = 1.67 \times 10^{- 27} k g$ )
$(Planck's constant (h) = 6.63 \times 10^{- 34} J s)$