Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
The de Broglie wavelength is related to the accelerating potential as
`lambda=h/sqrt(2meV)`
`:.lambda_p=h/sqrt(2m_pe_pV)`
And `lambda_alpha=h/sqrt(2m_alphae_alphaV)`
`:.lambda_p/lambda_alpha=h/sqrt(2m_pe_pV)xxsqrt(2m_alphae_alphaV)/h=sqrt(m_alphae_alpha)/sqrt(m_pe_p)`
Now, mass and charge of α particle is greater than that of proton.
∴ λp > λα for the same potential difference.
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)
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)`
An electron, an alpha particle and a proton have the same kinetic energy.
Which one of these particles has the largest de-Broglie wavelength?
Find the de Broglie wavelength of electrons moving with a speed of 7 × 106 ms -1.
If the kinetic energy of a free electron double, its de-Broglie wavelength changes by the factor ______.
Light of wavelength 2000 Å falls on a metal surface of work function 4.2 eV.
If the same light falls on another surface of work function 6.5 eV, what will be the energy of emitted electrons?
When the displacement of a particle executing simple harmonic motion is half of its amplitude, the ratio of its kinetic energy to potential energy is:
The de- Broglie wave length of an electron moving with a speed of 6.6 × 105 m/s is approximately
For production of characteristic of X-rays the electron trans mission is
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
