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Standard XII

Physics

Energy Levels

In order to h...

Question

In order to have the same wavelength for the electron (mass $m_{e}$ ) and the neutron (mass $m_{n}$ ), their velocities should be in the ratio (electron velocity / neutron velocity):

$\frac{m_{n}}{m_{e}}$

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$m_{n} \times m_{e}$

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$\frac{m_{e}}{m_{n}}$

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None of these

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Solution

The correct option is A
$\frac{m_{n}}{m_{e}}$

Given that, $λ_{e} = λ_{n}$

$\Rightarrow \frac{h}{m_{e} v_{e}} = \frac{h}{m_{n} v_{n}}$

$\Rightarrow \frac{v_{e}}{v_{n}} = \frac{m_{n}}{m_{e}}$

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In order to have the same wavelength for the electron (mass me) and the neutron (mass mn), their velocities should be in the ratio (electron velocity / neutron velocity):

The correct option is A mnme Given that, λe=λn ⇒hmeve=hmnvn ⇒vevn=mnme

In order to have the same wavelength for the electron (mass $m_{e}$ ) and the neutron (mass $m_{n}$ ), their velocities should be in the ratio (electron velocity / neutron velocity):

The correct option is A
$\frac{m_{n}}{m_{e}}$

Given that, $λ_{e} = λ_{n}$

$\Rightarrow \frac{h}{m_{e} v_{e}} = \frac{h}{m_{n} v_{n}}$

$\Rightarrow \frac{v_{e}}{v_{n}} = \frac{m_{n}}{m_{e}}$