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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

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Solution

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

$λ_{e} = \frac{h}{m_{e} V_{e}}$

For neutron

$λ_{n} = \frac{h}{m_{n}} V_{n}$

Given,

$λ_{e} = λ_{n}$

$\frac{h}{m_{e} V_{e}} = \frac{h}{m_{n} V_{n}}$

$⟹ \frac{V_{e}}{V_{n}} = \frac{m_{n}}{m_{e}}$

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Similar questions

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):

Q. Which of the following is the correct expression for a reduced mass

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Q. Given the masses of various atomic particles

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where

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Which of the following process is allowed by momentum and energy conservation?

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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 mnmeFor electronλe=hmeVeFor neutronλn=hmnVnGiven,λe=λnhmeVe=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 $\frac{m_{n}}{m_{e}}$
For electron

$λ_{e} = \frac{h}{m_{e} V_{e}}$

For neutron

$λ_{n} = \frac{h}{m_{n}} V_{n}$

Given,

$λ_{e} = λ_{n}$

$\frac{h}{m_{e} V_{e}} = \frac{h}{m_{n} V_{n}}$

$⟹ \frac{V_{e}}{V_{n}} = \frac{m_{n}}{m_{e}}$