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The ratio of the de Broglie wavelength ...

The ratio of the de Broglie wavelength of a proton and alpha particles will be `1:2` if their

A

velocity are in the ratio `1:8`

B

velocity are in the ratio `8:1`

C

kinetic energy are in the ratio `1:64`

D

kinetic energy are in the ratio `1:256`

Text Solution

Verified by Experts

The correct Answer is:
B
`lambda=v`
then `lambda=h/(mV)` or `lambda^(2)=h/m` So, `lambda=sqrt(h/m)`
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Knowledge Check

  • The de Broglie wavelength is given by

    A
    `p=(2pih)/(lamda)`
    B
    `p=(h)/(2lamda)`
    C
    `p=(2pi)/(hlamda)`
    D
    `p=(2pi)/(lamda)`

  • The ratio of specific charge of a proton and an alpha -particle is

    A
    `2:1`
    B
    `1:2`
    C
    `1:4`
    D
    `1:1`

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