Home
Class 12
PHYSICS
The wavelength lambda(e) of an electron ...

The wavelength `lambda_(e)` of an electron and `lambda_(p)` of a photon of same energy E are related by………………

A

`lambda_(p) prop lambda_(e)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
de Broglie wavelength of electron, `lambda_(e) = (h)/(sqrt(2mE))`
`therefore" ""i.e." lambda_(e) prop (1)/(sqrt(E)) rArr lambda_(e)^(2) prop (1)/(E)" "…(1)`
de-Broglie wavelength of proton
`lambda_(p) = (hc)/(E)`
`lambda_(P) prop (1)/(E)" "...(2)`
From (1) and (2)
`lambda_(e)^(2) prop lambda_(p)" ""i.e.", lambda_(p) prop lambda_(e)^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED -( SHORT ANSWER QUESTIONS)|14 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED -( LONG ANSWER QUESTIONS)|13 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    FULL MARKS|Exercise ADDITIONAL QUESTIONS -( ADDITIONAL NUMERICAL PROBLEMS : )|10 Videos

  • CURRENT ELECTRICITY

    FULL MARKS|Exercise Additional Questions Solved (Numerical Problems)|6 Videos

  • ELECTROSTATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( VII. NUMERICAL PROBLEMS )|5 Videos

Similar Questions

Explore conceptually related problems

The wavelength lambda_e of an electron of lambda_p of a photon of same energy E are related by ____

An electron and a proton have same speed. How are their wavelength related?

Knowledge Check

  • The wavelength 2, of an electron and 2, of a photon of same energy E are related by

    A
    `gamma_ppropgamma_e`
    B
    `gamma_ppropsqrt(gamma_e)`
    C
    `gamma_pprop1/(sqrt(gamma_e))`
    D
    `gamma_ppropgammaoverset2undersete`

  • If we consider electrons and photons of same wavelength then will have same

    A
    momentum
    B
    angular momentum
    C
    energy
    D
    velocity

  • The energy of photon of wavelength lambda is

    A
    `(hc)/(lambda)`
    B
    `h lambda c`
    C
    `(lambda)/(hc)`
    D
    `(h lambda)/(c)`

    • Similar Questions

    Explore conceptually related problems

    Consider the de Broglie wavelength of an electron and a proton. Which wavelength is smaller if the two particles have (a) the same speed (b) the same momentum (c) the same energy?

    An electron and photon have same energy 100 eV. Which has greater associated wavelength ?

    Light of wavelength lambda falls on metal having work functions hc//lambda_(0) . Photoelectric effect will take place only if :

    The de Broglie wavelength associated with an electron accelerated through a potential differenece V is lambda . What will be its wavelength when the accelerating potential is increased to 4V ?

    Momentum of photon of wavelength lambda is

    Home
    Profile