Energy of proton, neutron and electron = constant. K=1/2mv² mv=√2ml. The kinetic energy being the same for all, thus the only thing left to compare is the √mass. The de-Broglie Wavelength is inversely proportional to √ of mass and the kinetic energy. Relation Between de Broglie Equation and Bohr’s Hypothesis of Atom. De- Broglie wave length is given by - λ=h/√2mk. 2) The de Broglie wavelength of a certain electron is . For an electron with KE = 1 eV and rest mass energy 0.511 MeV, the associated DeBroglie wavelength is 1.23 nm, about a thousand times smaller than a 1 eV photon. Since, mass of proton > mass of electron, This implies, That is, wavelength of electron is greater than the wavelength of proton. This wavelength is in the blue-violet part of the visible light spectrum. De-Broglie wavelength is calculated by using the formula: where, = wavelength of electron h = Planck's constant = m = mass of electron = v = velocity of electron = 1% of c= The de broglie wavelength of an electron moving with 1% of the speed of light 2.41 Angstrom. The de Broglie wavelength lambda in units of "m" for mass-ive objects is given by the de Broglie relation: lambda = h/(mv), where: h = 6.626 xx 10^(-34) "J"cdot"s" is Planck's constant. The kinetic energy is given as 1 eV. Bohr postulated that angular momentum of an electron revolving around the nucleus as quantized. Answer: The de Broglie wavelength of the photon can be found using the formula: λ = 4.42 x 10 (-7) m. λ = 442 x 10 (-9) m. λ = 442 nm. Kinetic energy of particle of mass m having momentum p is, K.E = 12p2m ⇒ p = 2mK De-Broglie wavelength, λ = hp = h2mK ∴ p = hλ ....(i)and, K = h22mλ2 ....(ii) If λ is constant, then from equation (i), p = constant. We know the value of Planck's constant h and so to calculate the wavelength all we need is the momentum, which is equal to mv. (This is why the limiting resolution of an electron microscope is much higher than that of an optical microscope.) The de Broglie wavelength of the photon is 442 nm. It has practically zero wave characteristics. When k is constant = λα/√1m. This equation relating the momentum of a particle with its wavelength is de Broglie equation and the wavelength calculated using this relation is de Broglie wavelength. m is the object's mass in "kg" and v is its velocity in "m/s". Remember 1 eV is equal to 1.6 x 10-19 Joules. As per De-broglies formula, Kinetic energy of proton is equal to kinetic energy of proton. The De Broglie wavelength equation is as follows: λ=h/p.


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