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Current and Circuits · Paper 2 — Free Physics SL Practice Questions

1ChallengeSAQ-LElectric charge and current7 marksPaper 2~11 min

Data

F = k\frac{q_1 q_2}{r^2}, \quad F = \frac{mv^2}{r}, \quad k = 8.99 \times 10^{9}\,\text{N\,m}^2\,\text{C}^{-2}

e = 1.60 \times 10^{-19}\,\text{C}, \quad m_e = 9.11 \times 10^{-31}\,\text{kg}

A simple model of a hydrogen atom treats the electron as orbiting the proton in a circular path at a radius of

r = 5.3 \times 10^{-11}\,\text{m}

(a)

Determine the electrostatic force between the electron and the proton. [2 marks]

(b)

Determine the orbital speed of the electron, assuming the electrostatic force provides the centripetal force. [2 marks]

(c)

Determine the period of the electron's orbit. [1 mark]

(d)

The speed of light is

c = 3.00 \times 10^{8}\,\text{m s}^{-1}

. Calculate the ratio

v/c

for the orbiting electron and hence evaluate whether a classical (non-relativistic) treatment is valid for this model. [2 marks]

Solutions

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