A particle which has zero rest mass and non-zero energy and momentum must travel with a speed:
1. Equal to \(c\), the speed of light in vacuum.
2. Greater than \(c\).
3. Less than \(c\).
4. Tending to infinity.

Subtopic:  De-broglie Wavelength |
 76%
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When the kinetic energy of an electron is increased, the wavelength of the associated wave will
(1) Increase

(2) Decrease

(3) Wavelength does not depend on the kinetic energy

(4) None of the above

Subtopic:  De-broglie Wavelength |
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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 |
 68%
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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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