Question

A beam of electron is used in a young's double slit experiment the slit width is d when velocity of electron is increased then what will happen

Answer 1

Answer:

A beam of electron is used YDSE experiment . The slit width is d when the velocity of electron is increased ,then. Solution : Since electron shows wave nature, it will show the phenomenon of interference.

Answer 2

Answer:

If the velocity of electron used in Young's Double Slit Experiment is increased, the fringe width decreases.

Explanation:

• The expression for the fringe width in Young's Double Slit Experiment can be written as

$\beta = \frac{Dλ}{d}$

• where, d is the slit width
• D is the distance between screen and slit
• λ is the wavelength of incident ray
• From De-Broglie's hypothesis, the wave associated with material particles in motion are called matter waves and their wavelength is given by

$λ = \frac{h}{p} = \frac{h}{mv}$

Given that :

• Electron is used in Young's Double Slit Experiment
• Velocity of Electron is increased

Solution :

• Let, the electron moves with velocity, v and having mass m.
• The De-Broglie wavelength associated with electron is

$λ = \frac{h}{p} = \frac{h}{mv}$

• The fringe width, β will depends on this wavelength by relation

$\beta = \frac{Dλ}{d} = \frac{D \: h}{d \: mv}$

• If we increase the velocity of Electron, its De-Broglie wavelength decrease. Hence, resulting in decrease in the fringe width.