Advertisements
Advertisements
प्रश्न
A proton and an α-particle have the same de-Broglie wavelength Determine the ratio of their speeds.
उत्तर
The de Broglie wavelength (λ) of a particle is also given by
`lambda=h/(mv)`
Here,
h = Planck's constant
m = Mass
v = Speed of the particle
`:.lambda"proton"=h/(m_"proton"v_"proton")`
`lambda"alpha"=h/(_"alpha"v_"alpha")`
λproton=λalpha
`therefore h/(m_"proton"v_"proton")=h/(4m_"proton"v_"alpha")`
`therefore (4h)/h=(m_"proton"v_"proton")/(m_"proton"v_"alpha")`
`therefore 4=(v_"proton")/(v_"alpha")`
`=>(v_"proton")/v_"alpha"=4`
APPEARS IN
संबंधित प्रश्न
Compute the typical de Broglie wavelength of an electron in a metal at 27°C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10−10 m.
The wavelength λ of a photon and the de-Broglie wavelength of an electron have the same value. Show that energy of a photon in (2λmc/h) times the kinetic energy of electron; where m, c and h have their usual meaning.
Which one of the following deflect in electric field
An electromagnetic wave of wavelength ‘λ’ is incident on a photosensitive surface of negligible work function. If ‘m’ mass is of photoelectron emitted from the surface has de-Broglie wavelength λd, then ______.
A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to ______.
A proton, a neutron, an electron and an α-particle have same energy. Then their de Broglie wavelengths compare as ______.
Two particles move at a right angle to each other. Their de-Broglie wavelengths are λ1 and λ2 respectively. The particles suffer a perfectly inelastic collision. The de-Broglie wavelength λ, of the final particle, is given by ______.
The equation λ = `1.227/"x"` nm can be used to find the de Brogli wavelength of an electron. In this equation x stands for:
Where,
m = mass of electron
P = momentum of electron
K = Kinetic energy of electron
V = Accelerating potential in volts for electron
In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to ______.
Which of the following graphs correctly represents the variation of a particle momentum with its associated de-Broglie wavelength?
