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A beam of monoenergetic electrons, which...

A beam of monoenergetic electrons, which have been accelerated from rest by a potential U, is used to form an interference pattern in a Young's Double slit experiment. The electrons are now accelerated by potential 4U. The fringe width -

A

increae

B

decrease

C

remains same

D

no fringe pattern will be fromed

Text Solution

Verified by Experts

The correct Answer is:
B
On increasing speed of electron, de Broglie wavelength associated with it will decrease `(lambda=(h)/(mv)).` Since fringe width `beta=(Dlambda)/(d),` it will decrease.
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Knowledge Check

  • An electron is accelerated from rest to potential V. the final velocity of electron is

    A
    `sqrt((eV)/(2M))`
    B
    `sqrt((4eV)/(m))`
    C
    `sqrt((eV)/(m))`
    D
    `sqrt((2eV)/(m))`

  • The ratio of momenta of an electron and an a- particle which are accelerated from rest by a potential difference of 100 V is

    A
    1
    B
    `sqrt(2 m_e)/(m_alpha)`
    C
    `sqrt(2m_e)/(m_alpha)`
    D
    `sqrt( m_e)/(2m_alpha)`

  • The ratio of moment of an electron and an alpha -particle which are accelerated from rest by a potential difference of 100V is

    A
    `1`
    B
    `sqrt((2m_(e))/(m_(alpha)))`
    C
    `sqrt((m_(e))/(m_(alpha)))`
    D
    `sqrt((m_(e))/(2m_(alpha)))`