English
Karnataka Board PUCPUC Science 2nd PUC Class 12

What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s?

Advertisements
Advertisements

Question

What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s?

Numerical
Advertisements

Solution

Mass of the bullet, m = 0.040 kg

Speed of the bullet, v = 1.0 km/s = 1000 m/s

Planck’s constant, h = 6.6 × 10−34 Js

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

`lambda = h/(mv)`

= `(6.6 xx 10^(-34))/(0.040 xx 1000)`

= 1.65 × 10−35 m

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Dual Nature of Radiation and Matter - EXERCISES [Page 289]

APPEARS IN

NCERT Physics Part I and II [English] Class 12
Chapter 11 Dual Nature of Radiation and Matter
EXERCISES | Q 11.10 (a) | Page 289
NCERT Physics Part I and II [English] Class 12
Chapter 11 Dual Nature of Radiation and Matter
Exercise | Q 11.15 (a) | Page 408

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

A proton and an α-particle have the same de-Broglie wavelength Determine the ratio of  their speeds.


Calculate the momentum of the electrons accelerated through a potential difference of 56 V.


Obtain the de Broglie wavelength of a neutron of kinetic energy 150 eV. As you have an electron beam of this energy is suitable for crystal diffraction experiments. Would a neutron beam of the same energy be equally suitable? Explain. (mn= 1.675 × 10−27 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.


When a light wave travels from air to glass ______.


What are matter waves?


 Show with the help of a labelled graph how their wavelength (λ) varies with their linear momentum (p).


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 ______.


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 ______.


Two particles A1 sand A2 of masses m1, m2 (m1 > m2) have the same de Broglie wavelength. Then ______.

  1. their momenta are the same.
  2. their energies are the same.
  3. energy of A1 is less than the energy of A2.
  4. energy of A1 is more than the energy of A2.

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.

Two particles move at a right angle to each other. Their de-Broglie wavelengths are λ1 and λ2 respectively. The particles suffer a perfectly inelastic collision. The de-Broglie wavelength λ, of the final particle, is given by ______.


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:


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


In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to ______.


Matter waves are ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×