1a2 marks
a)
The Planck constant h is an important fundamental constant in quantum physics.
Determine the S.I. base units for h.
base units = ....................................... [2]
1b9 marks
b)
A researcher is investigating the de Broglie wavelength of charged particles.
The charged particles are accelerated through a potential difference V. The de Broglie wavelength λ of these particles is then determined by the researcher.
Each particle has mass m and charge q.
i)
Show that the de Broglie wavelength λ is given by the expressionÂ
[2]
ii)
The researcher plots data points on a λ2 against grid, as shown below.
1
Calculate the percentage uncertainty in λ for the data point circled on the grid.
percentage uncertainty = .................................... % [2]
2
Draw a straight line of best fit through the data points.
[1]
3
The charge q on the particle is 2e, where e is the elementary charge.
Use your best fit straight line to show that the mass m of the particle is about 10−26 kg.
Use your best fit straight line to show that the mass m of the particle is about 10−26 kg.
[4]
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