The de Broglie wavelength of electron of He^{+} ion is 3.329Å. If the photon emitted upon de-excitation of this He^{+} ion is made to hit H atom in its ground state so as to liberate electron from it, what will be the de Broglie's wavelength of photoelectron ?

(A) 0.1518 Å

(B) 6.1518 Å

(C) 2.3518 Å

(D) 4.1218 Å

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de Broglie Equation

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Calculate the de Broglie wavelength of an $\alpha $-particle emitted from radium having an energy of 4.8 MeV.

(Mass of $\alpha $-particle=6.6 x 10^{-24} g; h=Planck's constant = 6.626 x 10^{-27} erg sec)

(A) 6.18 x 10^{-13}cm

(B) 0.58 x 10^{-8}cm

(C) 6.58 x 10^{-13}cm

(D) 4.12 x 10^{-11}cm

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de Broglie Equation

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What is the ratio of the time period of revolution of electron He^{+} ion sample in the orbit where the path length is three time the de-broglies wavelength to the time period of revolution in the ground state –

(A) 27:1

(B) 1:27

(C) 9:8

(D) 8:9

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de Broglie Equation

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For particles having same kinetic energy, the de Broglie wavelength is-

(A) Directly proportional to its velocity

(B) Inversely proportional to its velocity

(C) Independent of velocity and mass

(D) Unpredictable

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de Broglie Equation

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An electron, practically at rest, is initially accelerated through a potential difference of 100 volts. It then has a de Broglie wavelength=$\lambda $_{1}Å. It then get retarded through 19 volts and then it has wavelength $\lambda $_{2 }Å. A further retardation through 32 volts changes the wavelength to $\lambda $_{3}.

What is ($\lambda $_{3}-$\lambda $_{2})/$\lambda $_{1}?

(A) 20/41

(B) 10/63

(C) 20/63

(D) 10/41

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de Broglie Equation

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A cricket ball of 0.5 kg is moving with a velocity of 100 ms^{-1}. The wavelength associated with its motion is:

1. 1/100cm

2. 6.6 x 10^{-34}m

3. 1.32 x 10^{-35}m

4. 6.6 x 10^{-28}m

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de Broglie Equation

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If the velocity of a particle is reduced to 1/3^{rd}, then percentage increase in its de-broglie wavelength will be:-

1. 100%

2. 200%

3. 50%

4. 33.33%

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de Broglie Equation

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Which of the following has the largest de Broglie wavelength (all have equal velocity)

1. ${\mathrm{CO}}_{2}$ molecule

2. ${\mathrm{NH}}_{3}$ molecule

3. Electron

4. Proton

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de Broglie Equation

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$\sqrt{\mathrm{V}}$on two particles A and B are plotted against de-Broglie wavelengths. Where V is the potential on the particles. Which of the following relation is correct about the mass of particles?

1. ${\mathrm{m}}_{\mathrm{A}}={\mathrm{m}}_{\mathrm{B}}$

2. ${\mathrm{m}}_{\mathrm{A}}>{\mathrm{m}}_{\mathrm{B}}$

3. ${\mathrm{m}}_{\mathrm{A}}<{\mathrm{m}}_{\mathrm{B}}$

4. ${\mathrm{m}}_{\mathrm{A}}\le {\mathrm{m}}_{\mathrm{B}}$

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de Broglie Equation

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