Atomic Structure

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An electron, a proton and an alpha particle have kinetic energies of 16E,4E and E respectively. What is the qualitative order of their de Broglie wavelengths ?
a)I_e>I_p=I_a
b)I_p=I_a>I_e
c)I_p>I_e>I_a
d)I_a<I_e>>I_p

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996

Swarna Kamal Dhyawala ·2013-06-18 10:15:06

Î» is proportional to 1/âˆš(Km)
For the electron m = 1/2000 amu approx and K =16E.
1/âˆš(Km) = 1/âˆš(16E x (1/2000)) = 11.2/âˆšE approx

For the proton m = 1 amu approx and K =16E.
1/âˆš(Km) = 1/âˆš(16E x 1) = 0.25/âˆšE

For the alpha particle m = 4 amu approx and K =4E
1/âˆš(Km) = 1/âˆš(4E x 4) = 0.25/âˆšE

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Raunaq Saha Thanks a lot :D
Upvote·0· Reply ·2013-06-19 05:42:04
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996

Swarna Kamal Dhyawala ·2013-06-17 10:12:41

Î» = h / âˆš2mK.E
i.e Ie>Ip=Ia
(A)should be the answer

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Raunaq Saha but why is Ip=Ia ?
Upvote·0· Reply ·2013-06-18 06:12:21
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Atomic Structure

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