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According to Louis de Broglie, a French ...

According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation `lambda=(h)/(m upsilon(p)).` Here `lambda` represents wave nature while p or `m upsilon` accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles.
If travelling at equal speeds, the longest wavelength of the following matter waves is for

A

an electron

B

a proton

C

a neutron

D

an `alpha`-particle `(He^(2+))`.

Text Solution

Verified by Experts

The correct Answer is:
A

For electron wave, mass (m) is the least and wavelength (l) is the maximum `(lambda=(h)/(m upsilon))`
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Knowledge Check

  • According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. Which of the following is not correct ?

    A
    All electromagnetic radiations travel with the same velocity.
    B
    Matter waves have generally velocity less than electromagnetic waves.
    C
    Matter waves are emitted by material particles.
    D
    Electromagnetic waves are associated with electric and magnetic fields but matter waves are not.
  • According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. For particles having same kinetic energy , the de Broglie wavelength is :

    A
    directly proportional to velocity
    B
    inversely proportional to velocity
    C
    independent of velocity and mass
    D
    meaningless
  • According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. A particle A moving with a certain velocity has a de Broglie wavelength of 1 Ã…. If a particle B has the mass 25% that of A and velocity 75% that of A, the de Broglie wavelength of B will be approximately .

    A
    1 Ã…
    B
    5.3 Ã…
    C
    3 Ã…
    D
    0.2 Ã…
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