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

What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0 m/s? - Physics

Advertisements
Advertisements

प्रश्न

What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0 m/s?

संख्यात्मक
Advertisements

उत्तर

Mass of the ball, m = 0.060 kg

Speed of the ball, v = 1.0 m/s

Planck’s constant, h = 6.6 × 10−34 Js

De Broglie wavelength of the ball is given by the relation:

`lambda = h/(mv)`

= `(6.6 xx 10^(-34))/(0.060 xx 1)`

= 1.1 × 10−32 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 1 and 2 [English] Class 12
पाठ 11 Dual Nature of Radiation and Matter
EXERCISES | Q 11.10 (b) | पृष्ठ २८९

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).


Crystal diffraction experiments can be performed using X-rays, or electrons accelerated through appropriate voltage. Which probe has greater energy? (For quantitative comparison, take the wavelength of the probe equal to 1 Å, which is of the order of inter-atomic spacing in the lattice) (me = 9.11 × 10−31 kg).


Obtain the de Broglie wavelength associated with thermal neutrons at room temperature (27°C). Hence explain why a fast neutron beam needs to be thermalised with the environment before it can be used for neutron diffraction experiments.


Compute the typical de Broglie wavelength of an electron in a metal at 27°C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10−10 m.


Why photoelectric effect cannot be explained on the basis of wave nature of light? Give reasons.


An electromagnetic wave of wavelength ‘λ’ is incident on a photosensitive surface of negligible work function. If ‘m’ mass is of photoelectron emitted from the surface has de-Broglie wavelength λd, then ______.


A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to ______.


A proton, a neutron, an electron and an α-particle have same energy. Then their de Broglie wavelengths compare as ______.


An electron is moving with an initial velocity `v = v_0hati` and is in a magnetic field `B = B_0hatj`. Then it’s de Broglie wavelength ______.


An electron (mass m) with an initial velocity `v = v_0hati` is in an electric field `E = E_0hatj`. If λ0 = h/mv0, it’s de Broglie wavelength at time t is given by ______.


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 alpha particle is accelerated through a potential difference of 100 V. Calculate:

  1. The speed acquired by the alpha particle, and
  2. The de-Broglie wavelength is associated with it.

(Take mass of alpha particle = 6.4 × 10−27 kg)


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.

Given below are two statements:

Statement - I: Two photons having equal linear momenta have equal wavelengths.

Statement - II: If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.


An electron of mass me, and a proton of mass mp = 1836 me are moving with the same speed. The ratio of the de Broglie wavelength `lambda_"electron"/lambda_"proton"` will be:


For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?


Which of the following graphs correctly represents the variation of a particle momentum with its associated de-Broglie wavelength?


How will the de-Broglie wavelength associated with an electron be affected when the velocity of the electron decreases? Justify your answer.


Matter waves are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×