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The wavelength lambda(e ) of an photon o...

The wavelength `lambda_(e )` of an photon of same energy `E` are related by

A

`lambda_(p) prop lambda_(e )^(2)`

B

`lambda_(p) prop lambda_( e )`

C

`lambda_(p) prop sqrt(lambda_(e ))`

D

`lambda_(p) prop (1)/(sqrt(lambda_(e)))`

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda_(e) = (h)/(sqrt( 2 mE)) lambda_(e) = (hc)/( E)`
`lambda_(e)^(2) = (h^(2))/( 2m E)`
`lambda_(e)^(2) = (h^(2))/( 2 m (hc)/(lambda_(p))) rArr lambda_( e)^(2) prop lambda_(p)`
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Knowledge Check

  • The wavelength lamda_(e) of ann electron and lamda_(p) of a photon of same energy E are related by

    A
    `lamda_(p) prop lamda_(e)^(2)`
    B
    `lamda_(p) prop lamda_(e)`
    C
    `lamda_(p) prop sqrt(lamda_(e))`
    D
    `lamda_(p) prop (1)/(sqrt(lamda_(e)))`

  • Photon having energy E has the same de Broglie wavelength as that of proton of energy E_1 . The correct relation between E and E_1 is

    A
    `E_1 prop sqrtE`
    B
    `E_1 prop E^2`
    C
    `E prop sqrtE_1`
    D
    `E_1 prop 1/E`

  • If m is the mass of an electron and c the speed of light, the ratio of the wavelength of a photon of energy E to that of the electron of the same energy is

    A
    `csqrt((2m)/(E))`
    B
    `sqrt((2m)/(E))`
    C
    `sqrt((2m)/(cE))`
    D
    `sqrt((m)/(E))`

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