Physics 9702 · AS & A Level · Potential difference and power

Potential difference and power — practice question

(a(i))[2]

An oil drop is spherical, with radius $1.2 \times 10^{-6}\ \text{m}$, and its density is $940\ \text{kg m}^{-3}$. Show that the mass of the oil drop is $6.8 \times 10^{-15}\ \text{kg}$.

(a(ii))[1]

The oil drop is charged. Explain why a charge magnitude of $8.0 \times 10^{-20}\ \text{C}$ is impossible.

(b(i))[2]

A charged oil drop moves in a vacuum between two horizontal metal plates that are $8.0\ \text{mm}$ apart. The electric field between the plates is uniform and has a field strength of $2.1 \times 10^{5}\ \text{V m}^{-1}$. The oil drop travels vertically downwards at constant speed. Calculate the potential difference $V$ between the plates.

(b(ii))[1]

Explain how the motion of the oil drop indicates that it is in equilibrium.

(b(iii))[3]

Determine the charge on the oil drop. State both the magnitude of the charge and its sign.

(c(i))[2]

The magnitude of the potential difference between the plates in part (b) is reduced. Explain why the oil drop accelerates downwards.

(c(ii))[1]

Describe how the pattern of the field lines (lines of force) that represent the uniform electric field changes as the potential difference decreases.

(d(i))[1]

Two forces, X and Y, may act on an oil drop in air, but they do not act on an oil drop in a vacuum. Force X can act whether the oil drop is stationary or moving. State the name of force X.

(d(ii))[1]

Two forces, X and Y, may act on an oil drop in air, but they do not act on an oil drop in a vacuum. Force Y can act only when the oil drop is moving. State the name of force Y.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $m = \rho V$

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