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The De Broglie wavelength of the electron is
And we can use De Broglie's relationship to find its momentum:
Given
, with m being the electron mass and v its velocity, we can find the electron's velocity:
This velocity is quite small compared to the speed of light, so the electron is non-relativistic and we can find its kinetic energy by using the non-relativistic formula:
And we can use De Broglie's relationship to find its momentum:
Given
This velocity is quite small compared to the speed of light, so the electron is non-relativistic and we can find its kinetic energy by using the non-relativistic formula:
Total energy =kinetic energy +potential energy
Change in energy =change in (kinetic energy +potential energy)
potential energy,
where m is the mass, g is acceleration due to gravity and h is the height.
potential energy per unit mass =gh
change in potential energy per unit mass =
where, h is the height.
kinetic energy=
change in kinetic energy per unit mass,
In the given question:
Height varies from 90 m to zero as river flows from 90 m height to lake at 0 m
Velocity varies from 3m/s at top to o m/s at bottom.
Therefore,
Here, it was mentioned in the question internal energy of the water is constant and there is no change in the pressure at the inlet and outlet.