Advertisements
Advertisements
प्रश्न
A proton and an electron are accelerated by the same potential difference. Let λe and λpdenote the de Broglie wavelengths of the electron and the proton, respectively.
पर्याय
λe = λp
λe < λp
λe > λp
The relation between λe and λp depends on the accelerating potential difference.
Advertisements
उत्तर
λe > λp
Let me and mp be the masses of electron and proton, respectively.
Let the applied potential difference be V.
Thus, the de-Broglie wavelength of the electron,
`λ_e = h/sqrt(2m_eeV)` ....(1)
And de-Broglie wavelength of the proton,
`λ_p = h/sqrt(2m_peV)` ....(2)
Dividing equation (2) by equation (1), we get :
`λ_p/λ_e = sqrt(m_e)/sqrt(m_p)`
`m_e < m_p`
`therefore λ_p/λ_e < 1`
⇒ `λ_p < λ_e`
APPEARS IN
संबंधित प्रश्न
Calculate the de Broglie wavelength of an electron moving with - of the speed of light in vacuum (Negelct relativistic effect)
(Planck's constant: h = 6.63 x 10-34 Js, Mass of electron : m = 9.11 x 10-28 g)
Plot a graph showing variation of de Broglie wavelength λ versus `1/sqrtV` , where V is accelerating potential for two particles A and B, carrying the same charge but different masses m1, m2 (m1 > m2). Which one of the two represents a particle of smaller mass and why?
A proton and an α -particle are accelerated through the same potential difference. Which one of the two has greater de-Broglie wavelength Justify your answer.
Calculate the de-Broglie wavelength of an electron moving with one-fifth of the speed of light.Neglect relativistic effects. (`h = 6.63 xx 10^(-34)` J.s, c= `3xx10^8`m/s, mass of electron = `9 xx 10^(-31) kg)`
A deuteron and an alpha particle are accelerated with the same accelerating potential greater value of de-Broglie wavelength, associated it ?
Let p and E denote the linear momentum and energy of a photon. If the wavelength is decreased,
Find the de Broglie wavelength of electrons moving with a speed of 7 × 106 ms -1.
Light of wavelength 2000 Å falls on a metal surface of work function 4.2 eV.
What will be the change in the energy of the emitted electrons if the intensity of light with same wavelength is doubled?
Gas exerts pressure on the walls of the container because :
A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1 m/s so as to have the same K.E. as that of the boy. The original speed of the man will be:
For production of characteristic of X-rays the electron trans mission is
A strong argument for the particle mature of cathode ray is to
An oil drop carrying a charge q has a mass m kg it is falling freely in air with terminal speed v. the electron field required to make the drop move upward with the same speed is
A neutron beam of energy E scatters from atoms on a surface with a spacing d = 0.1 nm. The first maximum of intensity in the reflected beam occurs at θ = 30°. What is the kinetic energy E of the beam in eV?
The work function of a metal is 4.50 eV. Find the frequency of light to be used to eject electrons from the metal surface with a maximum kinetic energy of 6.06 × 10−19 J.
What is meant by “Dual nature of matter”?
