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Calculate the de Broglie wavelength asso...

Calculate the de Broglie wavelength associated with the following :
(i) electrons moving with a speed of `10^(5)ms^(-1)`
(ii) protons moving with a speed of `10^(5)ms^(-1)`
(iii) a proton of momentum `2.26 xx 10^(-23)` kg `ms^(-1)`
(iv) a thermal neutron of energy 0.025 eV.

Text Solution

Verified by Experts

The correct Answer is:
`0.7278 xx 10^(-8)m`
`3.97 xx 10^(-12) m`
`0.29 xx 10^(-10) m`
`1.807 Å`
`0.1690 Å`
`0.01276 Å`
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Knowledge Check

  • The wavelength of an electron moving with velocity of 10^(7)ms^(-1) is

    A
    `7.27xx10^(-11)`m
    B
    `3.55xx10^(-11)`m
    C
    `8.25xx10^(-4)`m
    D
    `1.05xx10^(-16)`m
  • The de-Broglie wavelength associated with a particle of mass 10^-6 kg moving with a velocity of 10 ms^-1 , is

    A
    `6.63 xx 10^-22 m`
    B
    `6.63 xx 10^-29 m`
    C
    `6.63 xx 10^-31 m`
    D
    `6.63 xx 10^-34 m`
  • The wavelength associated with an electron moving with velocity 10^(10) ms^(-1) is

    A
    `6.62 x10^(-10) m`
    B
    ` 7.27 xx 10^(-14) m`
    C
    ` 3.69 xx 10^(-12) m`
    D
    ` 4.92 xx 10^(-11) m`
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    (b) Calculate de Broglie wavelength for an electron moving with a speed of 10^(6)" m s"^(-1) .

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