मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

What is the de Broglie wavelength of a dust particle of mass 1.0 × 10−9 kg drifting with a speed of 2.2 m/s?

Advertisements
Advertisements

प्रश्न

What is the de Broglie wavelength of a dust particle of mass 1.0 × 10−9 kg drifting with a speed of 2.2 m/s?

संख्यात्मक
Advertisements

उत्तर

Mass of the dust particle, m = 1 × 10−9 kg

Speed of the dust particle, v = 2.2 m/s

Planck’s constant, h = 6.6 × 10−34 Js

De Broglie wavelength of the dust particle is given by the relation:

`lambda = h/(mv)`

= `(6.6 xx 10^-34)/(1 xx 10^(-9) xx 2.2)`

= 3.0 × 10−25 m

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Dual Nature of Radiation and Matter - EXERCISES [पृष्ठ २८९]

APPEARS IN

एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 11 Dual Nature of Radiation and Matter
EXERCISES | Q 11.10 (c) | पृष्ठ २८९
एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 11 Dual Nature of Radiation and Matter
Exercise | Q 11.15 (c) | पृष्ठ ४०८

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

For what kinetic energy of a neutron will the associated de Broglie wavelength be 1.40 × 10−10 m?


State any one phenomenon in which moving particles exhibit wave nature.


When a light wave travels from air to glass ______.


Sodium and copper have work function 2.3 eV and 4.5 eV respectively. Then, the ratio of the wavelengths is nearest to ______.


The wavelength of the matter wave is dependent on ______.


An electron (mass m) with an initial velocity `v = v_0hati (v_0 > 0)` is in an electric field `E = - E_0hati `(E0 = constant > 0). It’s de Broglie wavelength at time t is given by ______.


Relativistic corrections become necessary when the expression for the kinetic energy `1/2 mv^2`, becomes comparable with mc2, where m is the mass of the particle. At what de Broglie wavelength will relativistic corrections become important for an electron?

  1. λ = 10 nm
  2. λ = 10–1 nm
  3. λ = 10–4 nm
  4. λ = 10–6 nm

A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values λ1, λ2 with λ1 > λ2. Which of the following statement are true?

  1. The particle could be moving in a circular orbit with origin as centre.
  2. The particle could be moving in an elliptic orbit with origin as its focus.
  3. When the de Broglie wavelength is λ1, the particle is nearer the origin than when its value is λ2.
  4. When the de Broglie wavelength is λ2, the particle is nearer the origin than when its value is λ1.

Assuming an electron is confined to a 1 nm wide region, find the uncertainty in momentum using Heisenberg Uncertainty principle (∆x∆p ≃ h). You can assume the uncertainty in position ∆x as 1 nm. Assuming p ≃ ∆p, find the energy of the electron in electron volts.


An electron is accelerated from rest through a potential difference of 100 V. Find:

  1. the wavelength associated with
  2. the momentum and
  3. the velocity required by the electron.

The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is ______ × 10-11 m (given radius of first Bohr orbit is 5.3 × 10-11 m):


The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : `sqrt2`. Then, the ratio of Vp to Vd will be ______.


A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be:


E, c and `v` represent the energy, velocity and frequency of a photon. Which of the following represents its wavelength?


Who proposed that moving particles such as electrons and protons also possess wave character?


In the de Broglie relation, what does \[h\] represent?


Which wave quantities did de Broglie relate to the particle quantities energy and momentum?


Rearranging \[p=\frac{h}{\lambda}\] gives which expression?


What value of Planck's constant is used in the de Broglie wavelength calculations?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×