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Statement -I : If the potential differe...

Statement -I : If the potential difference applied to an electron is made 4 times, the de-Broglie wavelenght
assoiated is halved. (Initial kinetic energy of the electron was zero ).
Statement -II : On making potential difference 4 times velocity is doubled and hence according to
De -broglie hypothesis`lambda` is halved.

A

If both Statement -I & Statement -II are True & the Statement -II is a correct explanation of the Statement
I.

B

If both Statement -I & Statement -II are True but the Statement -II is not a correct explanation of the
Statement- I.

C

If Statement -I is True but the Statement -II is False.

D

If Statement -I is True but the Statement -II is True .

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda_(1)=sqrt((150)/(V))Å`, `lambda_(2)sqrt((150)/(4V))Å`=`(1)/(2)sqrt((150)/(V))Å`=`(lambda_(1))/(2)`
`(1)/(2)m_(e)u_(1)^(2)=eV" "(1)/(2)m_(e)u_(2)^(2)=4eV`
`rArru_(1)sqrt((2eV)/(m_(e)))" "rArru_(2)=2xxsqrt((2eV)/(m_(e)))`
`lambda_(1)=(h)/("mu"_(1))" "2mu_(1)`
`lambda_(2)=(h)/("mu"_(2))`=`(h)/("2mu"_(1))`=`lambda_(1)/(2)`
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Assertion (A) : If the potential difference applied to an electron is made 4 time , the de Broglie wavelength associated is halved Reason (R ) : On making potential difference 4 times , velocity is doubled and hence lambda is halved

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Knowledge Check

  • Assertion (A) : If the potential difference applied to an electron is made 4 time , the de Broglie wavelength associated is halved Reason (R ) : On making potential difference 4 times , velocity is doubled and hence lambda is halved

    A
    If both (A) and (R ) correct and (R ) is the correct explanation for (A)
    B
    If both (A) and (R ) correct and (R ) is the correct explanation for (A)
    C
    If (A) is correct but (R ) is incorrect
    D
    If (A) is incorrect but (R ) is correct

  • The potential difference V required for accelerating an electron to have the de-Broglie wavelength of 1 Å is

    A
    100 V
    B
    125 V
    C
    150 V
    D
    200 V

  • Through what potential difference should an electron be accelerated so that its de - Broglie wavelenght becomes 0.5 Å

    A
    6022 V
    B
    602.2 V
    C
    60.22 V
    D
    6.022 V