A proton, a neutron, an electron and an a-particle have same energy. If <math> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>e</mi> </mrow> </msub> <mtext> </mtext> <mtext> </mtext> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mtext> </mtext> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>α</mi> </mrow> </msub> </mrow> </math> and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following:

<!- [if gte mso 9]><xml> </xml><! [endif]-> λ = h m v = h 2 m k . E λ α 1 m m α > m n > m p > m e λ α < λ n < λ p < λ e

A proton, a neutron, an electron and an a-particle have same energy. If <math> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>e</mi> </mrow> </msub> <mtext> </mtext> <mtext> </mtext> <mi>a</mi> <mi>n</mi> <mi>d</mi> <mtext> </mtext> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mi>α</mi> </mrow> </msub> </mrow> </math> and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following:

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Physics NCERT Exemplar Solutions Class 11th Chapter Eight Physics Class 12th Dual Nature of Radiation and Matter

A proton, a neutron, an electron and an a-particle have same energy. If $λ_{p}, λ_{n}, λ_{e} a n d λ_{α}$ and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following:

Option 1 -

$λ_{p} = λ_{n} > λ_{e} > λ_{α}$

Option 2 -

$λ_{α} < λ_{n} < λ_{p} < λ_{e}$

Option 3 -

$λ_{e} < λ_{p} = λ_{n} > λ_{α}$

Option 4 -

$λ_{e} = λ_{p} = λ_{n} = λ_{α}$

2 Views | Posted 2 months ago

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1 Answer

Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Correct Option - 2

Detailed Solution:

$λ = \frac{h}{m v} = \frac{h}{\sqrt[]{2 m k . E}}$

$λ α \frac{1}{\sqrt[]{m}}$

$m_{α} > m_{n} > m_{p} > m_{e}$

$λ_{α} < λ_{n} < λ_{p} < λ_{e}$

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A proton, a neutron, an electron and an a-particle have same energy. If $λ_{p}, λ_{n}, λ_{e} a n d λ_{α}$ and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following:

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A proton, a neutron, an electron and an a-particle have same energy. If λ p , λ n , λ e a n d λ α and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following:

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A proton, a neutron, an electron and an a-particle have same energy. If $λ_{p}, λ_{n}, λ_{e} a n d λ_{α}$ and the de Broglie’s wavelengths of proton, neutron, electron and a particle respectively, then choose the correct relation form the following: