Q1.
(i)
A negative muon, m–, is 207 times more massive than an electron.
Calculate the de Broglie wavelength of a negative muon travelling at 3.0 × 106 m s–1.
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(ii)
Using values from the data sheet calculate the ratio
pion.
where π0 is a neutral
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(iii)
Calculate the speed necessary for a π0 to have the same de Broglie wavelength as that of
the m– in part (i).
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(Total 6 marks)
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Q2.
Electromagnetic waves and electrons have properties of both particles and waves.
Explain what evidence there is to support this statement.
Experimental details are not required.
You may be awarded marks for the quality of written communication in your answer.
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(Total 6 marks)
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M1.
(i)
(1)
= 1.2 × 10−12 m (1) (1.17 × 10−12 m)
(ii)
(1)
= 1.3 (1) (1.28)
(iii)
(same de Broglie wavelength implies same momentum)
m π νπ = m µ νµ (1)
(1)
(use of 1.3 gives 2.3(1) × 106 ms −1)
(allow C.E. from (ii))
[6]
M2.
electrons diffract [or high energy electron scattering] (1)
showing wave behaviour (1)
electrons are deflected in electric or magnetic fields (1)
showing particle behaviour (1)
interference of electromagnetic waves (1)
showing wave behaviour (1)
photoelectric effect (1)
showing particle behaviour (1)
max 6
QWC 2
[6]
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