What is the speed of an electron whose de Broglie wavelength is 0.1nm? By what potential difference, must have such an electron accelerated from an initial speed zero? Show
Answer VerifiedHint: Try to use the equation of De Broglie which relates wavelength with the mass and velocity. After obtaining the velocity, substitute it in the limiting condition of stopping potential in order to obtain the voltage. Complete Solution : - E is the energy and h is Planck’s constant $6.626\times {{10}^{-34}}Js$. In the photoelectric effect, conservation of energy takes place. The energy which is supplied by the photon to the electron is used up to eject the electron from the metal atom and the remaining is used to eject the electron with maximum energy. The minimum potential applied by which
velocity of ejected electrons becomes zero is known as stopping potential. - Now, substituting the values from the question, we have: Note: When a photon having sufficient energy strikes an electron on the metal atom, it transfers energy instantaneously to the electron during the collision and electrons get ejected without any delay or time lag. Home The speed of an electron having a wavelength of 10 10m is Question A 7.25×106m/s Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses B 6.26×106m/s
No worries! We‘ve got your back. Try BYJU‘S free classes today! C 5.25×106m/s No worries! We‘ve got your back. Try BYJU‘S free classes today! D 4.24×106m/s No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is A 7.25×106m/sBy using λelectron=hmev⇒v=hmeλe=6.6×10−349.1×10−31×10−10=7.25×106m/s.Suggest Corrections 0 Similar questions Q. The speed of an electron having a wavelength of
10−10m is Q. The speed of an electron having a wavelength of
10−10m is Q. The de Broglie wavelength of an electron is
0.4×10−10m when its kinetic energy is
1.0keV. Its wavelength will be
1.0×10−10m, when its kinetic energy is Q. The photoelectric threshold wavelength of silver is 3250×10−10m. The velocity of the electron ejected from a silver surface by ultravioet light of wavelength 2536×10−10m is: Q. Calculate the velocity of an electron having wavelength of
0.15nm. Mass of an electron is:
9.109×10−28g.
(h=6.626×10−27erg−s). View More How do you find speed of electron from wavelength?The de Broglie equation relating the wavelength of an electron to its velocity is:. λ = hp.. λ=wavelength in m.. h= Planck's constant.. p=momentum=mv ,. m=kg , and v=m/s.. Planck's constant, 6.626×10−34J⋅s.. velocity of electron, 3.85×106m/s.. mass of electron, 9.109×10−31kg.. What is the value of speed of electron?Using these values along with the dielectric constant of free space to be 8.854 x 10 {+-} {+1}{+2} Farad per meter, it is possible to make an estimate of the speed of the electron in the circular orbit of the hydrogen atom to be about 2.188 x 10 {+6} meters per second or 2188 km/sec.
What is the wavelength of an electron that is moving at a 3% of the speed of light?8.08×10−11m.
What is the wavelength of an electron moving at the speed of light?Let's find the de Broglie wavelength of an electron traveling at 1% of the speed of light. 299,792,458 m/s / 100 = 2,997,924.58 m/s. Dividing the Planck constant by p , we obtain the de Broglie wavelength: h/p = 6.6261*10-34 / 2.7309245*10-24 = 2.426 × 10-10 m.
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