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De Broglie's Hypothesis

Velocity of d...

Question

Velocity of de Broglie wave is given by:

A

\frac{c^{2}}{v}

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B

\frac{h v}{m c}

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C

\frac{m c^{2}}{h}

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D

v λ

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Solution

The correct option is B $\frac{h v}{m c}$
De-broglie hypothesized that any particle should exhibit duality.
The velocity of a particle is always equal to group velocity of the corresponding wave.
Thus, the velocity of debgrolie is given by
$\frac{h v}{m c}$

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Similar questions

Q. An electron having mass

m

with an initial velocity

v = v_{0}^i

in an electric field

E = E_{0}^i .

λ_{0} = \frac{h}{m v_{0}}

, its de-Broglie wave length at time

t

(mass m)

with initial velocity

\to v = v_{0}^i + v_{0}^j

is in an electric field

\to E = - E_{0}^k .

λ_{0}

is initial de-Broglie wavelength of electron, its de-Broglie wave length at time

t

Dual nature of matter was proposed by de Broglie in 1923, it was
experimentally verified by Davisson and Germer by diffraction
experiment. Wave character of matter has significance only for
microscopic particles. de Broglie wavelength or wavelength of
matter wave can be calculated using the following relation:

λ = \frac{h}{m v}

m

v

' are the mass and velocity of the particle.
de Broglie hypothesis suggested that electron waves were being
diffracted by the target, much as

X

-rays are diffracted by planes of
atoms in the crystals.

Which among the following is not used to calculate the de Broglie wavelength?

Dual nature of matter was proposed by de Broglie in 1923, it was experimentally verified by Davisson and Germer by diffraction experiment. Wave character of matter has significance only for microscopic particles. de Broglie wavelength or wavelength of matter wave can be calculated using the following relation:

λ = \frac{h}{m v}

m

v

' are the mass and velocity of the particle. de Broglie hypothesis suggested that electron waves were being diffracted by the target, much as

X

-rays are diffracted by planes of atoms in the crystals.

De-Broglie equation is obtained by combination of which of the following theories?

Dual nature of matter was proposed by de Broglie in 1923, it was experimentally verified by Davisson and Germer by diffraction experiment. Wave character of matter has significance only for microscopic particles. de Broglie wavelength or wavelength of matter wave can be calculated using the following relation:

λ = \frac{h}{m v}

m

v

' are the mass and velocity of the particle. de Broglie hypothesis suggested that electron waves were being diffracted by the target, much as

X

-rays are diffracted by planes of atoms in the crystals.

Planck's constant has same dimension as that of:

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