(a) Consider an electron travelling in free space at 50% of the speed of light with an uncertainty of its velocity of 10%: (i) Using the appropriate equation, explain the momentum-position uncertainty principle; (ii) Assuming no additional experimental errors (i.e. quantum uncertainty only) calculate the uncertainty in the electron’s position.

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(a) Consider an electron travelling in free space at 50% of the speed of light with an
uncertainty of its velocity of 10%:
(i) Using the appropriate equation, explain the momentum-position uncertainty principle;

(ii) Assuming no additional experimental errors (i.e. quantum uncertainty only) calculate
the uncertainty in the electron’s position.

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