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de Broglie proposed dual nature for elec...

de Broglie proposed dual nature for electron by putting his famous equation `lambda = (h)/(mv).` Later on, Heisenberg proposed uncertainty principle as `deltapDeltax ge (h)/(4pi).` On the contrary,
Particle nature of electron was established on the basis of photoelectric effect. When a photon strikes the metal surface it gives up its energy to the electron. Part of this energy (say W) is used by the electrons to escape from the metal and the remaining energy imparts kinetic energy `(1//2 mv^(2))` to the ejected photoelectron. The potential applied on the surface to reduce the velocity of photoelectron to zero is known as stopping potential .
The circumference of third orbit of a single electron species is 3 nm. What may be the approximate wavelength of the photon required to just ionize electron from this orbit?

A

91.1 nm

B

364.7 nm

C

821 nm

D

205 nm

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The correct Answer is:
c
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de Broglie proposed dual nature for electron by putting his famous equation lambda = (h)/(mv). Later on, Heisenberg proposed uncertainty principle as deltapDeltax ge (h)/(4pi). On the contrary, Particle nature of electron was established on the basis of photoelectric effect. When a photon strikes the metal surface it gives up its energy to the electron. Part of this energy (say W) is used by the electrons to escape from the metal and the remaining energy imparts kinetic energy (1//2 mv^(2)) to the ejected photoelectron. The potential applied on the surface to reduce the velocity of photoelectron to zero is known as stopping potential . When a beam of photons of a particular energy was incident on a surface of a particular pure metal having work function =(40 eV), some emitted photoelectrons had stopping potential equal to 22 V. some had 12V and rest had lower values. Calculate the wavelength of incident photons assuming that at least one photoelectron is ejected with maximum possible kinetic energy :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential The element mlst commonly used in photoelectric cell is :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential . The wavelngth helium atom wheose speed is equal to its rms speed at 27^@ C :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential The binding eenrgy fo electron in a metal is 250 kJ mol^(-1) . The threshold frequency of metal is :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential . The wavelength fo a golf ball weightin 200 g and moving at a speed fo 5 meter //hr is of the order :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential . If uncettainties in position and momentum of an electron are same them unceratinty in its velocity can be given by :

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential . With what velocity must an electon travel so that its momentum is equal to that of photon fo wavelength of lambda = 5200Å ?

de-Broglie proposed dual natrue for elecrton by putting his famous equation lambda = ( lambda) /( mu) , Later on Heisenberg proposed uncertiainty principle as . Deltap.Deltaxle(h)/(2)(h=(h)/(2pi)) . On the contray particel natrue of electron wa estabilshed on the basis fo photoelectric effect . When a photon strikes the metal suface it given up its energy to the electro . Part of this enrgy ( say W) is used by the electrons to escpe form the metal and the remaining imparts he kinetc enrgy (1//2 mu^2) to photoeleton . The potential applied on the surface to reduce the velocity fo photoelecton to zero is known as stoppong potential . With what potnetical should a gbeam of elctron be accelrated so that its wavelength becomes equal to 1. 54 overset (@) A ?

The kinetic energy of the ejected electrons in photoelectric effect is

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