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

Potential difference and power — practice question

In a vacuum, two horizontal metal plates are spaced $2.0\,\text{cm}$ apart, as illustrated in Fig. 6.1. The upper plate is at electric potential $+180\,\text{V}$, while the lower plate is at electric potential $-120\,\text{V}$.
(a(i))[2]

Work out the magnitude of the electric field strength between the plates.

(a(ii))[1]

State the direction in which the electric field acts.

(b(i))[3]

A neutral uranium-238 atom $\left(^{238}_{92}\text{U}\right)$ has its number of orbital electrons altered. As a result, it becomes a new particle (ion) $X$ with a total charge of $+2e$, where $e$ denotes the elementary charge. Determine how many protons, neutrons and electrons are present in particle (ion) $X$.

(b(ii))[2]

Ion $X$ is located midway between the plates in the electric field from part (a). Find the magnitude of the electric force on $X$.

(b(iii))[2]

The uranium-238 nucleus $\left(^{238}_{92}\text{U}\right)$ changes in several stages, by releasing $\alpha$-particles and $\beta^{-}$ particles, to produce a thorium-230 nucleus $\left(^{230}_{90}\text{Th}\right)$. Calculate how many $\alpha$-particles in total and how many $\beta^{-}$ particles in total are emitted as uranium-238 decays to thorium-230.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $E = \Delta V/\Delta d$

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