If the de-Broglie wavelengths for a proton and an alpha-particle are equal, then the ratio of their velocities will be:
1. \(4:1\)
2. \(2:1\)
3. \(1:2\)
4. \(1:4\)

Subtopic:  De-broglie Wavelength |
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The de-Broglie wavelength λ associated with an electron having kinetic energy E is given by the expression

(1) h2mE                           

(2) 2hmE

(3) 2mhE                               

(4) 22mEh

Subtopic:  De-broglie Wavelength |
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Dual nature of radiation is shown by:

(1) Diffraction and reflection

(2) Refraction and diffraction

(3) Photoelectric effect alone

(4) Photoelectric effect and diffraction

Subtopic:  Photoelectric Effect: Experiment |
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For the Bohr's first orbit of circumference 2πr, the de-Broglie wavelength of revolving electron will be

(a) 2πr                       (b) πr
(c) 12πr                      (d) 14πr

Subtopic:  Bohr's Model of Atom |
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An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength λ. The de-Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be

(1) λmM                           

(2) λmM

(3) λMm                           

(4) λMm

Subtopic:  De-broglie Wavelength |
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What is the de-Broglie wavelength of the α-particle accelerated through a potential difference V 
(1) 0.287V Å                 

(2) 12.27V Å

(3) 0.101V Å                 

(4) 0.202V Å

Subtopic:  De-broglie Wavelength |
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How much energy should be added to an electron to reduce its de-Broglie wavelength from \(10^{-10}\) m to \(0.5\times10^{-10}\) m?
1. Four times the initial energy.
2. Thrice the initial energy.
3. Equal to the initial energy.
4. Twice the initial energy.

Subtopic:  De-broglie Wavelength |
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The de-Broglie wavelength of an electron having 80eV of energy is nearly
(1eV =1.6×10-19 J, Mass of electron = 9×10-31Kg Plank’s constant = 6.6×10-34 J-sec)

(a) 140 Å                      (b) 0.14 Å
(c) 14 Å                        (d) 1.4 Å

Subtopic:  De-broglie Wavelength |
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If the following particles are moving at the same velocity, then which among them will have the maximum de-Broglie wavelength?
1. Neutron               
2. Proton
3. \(β -\)particle             
4. \(α -\)particle

Subtopic:  De-broglie Wavelength |
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If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same 
(1) Energy             

(2) Momentum

(3) Velocity             

(4) Angular momentum

Subtopic:  De-broglie Wavelength |
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