Physics 9702 · AS & A Level · Simple harmonic oscillations

Simple harmonic oscillations — practice question

(a)[2]

A mass is moving in simple harmonic motion with amplitude $x_0$. The greatest magnitude of the mass’s velocity is $v_0$. On Fig. 3.1, indicate how the velocity $v$ of the mass varies with displacement $x$.

(b)[2]

A straight rigid wire carries a steady current in a region of uniform magnetic flux density. The angle $\theta$ between the current direction and the magnetic-field direction is changed. The greatest force on the wire is $F_0$. On Fig. 3.2, indicate how the force $F$ on the wire varies with angle $\theta$ for values of $\theta$ from $0^\circ$ to $90^\circ$.

(c)[2]

A sinusoidal supply has frequency $250\,\text{Hz}$ and r.m.s. potential difference $2.8\,\text{V}$. On the axes of Fig. 3.3, quantitatively show how the voltage $V$ varies with time $t$ for one cycle of the varying voltage.

(d(i))[2]

A particular fission reaction can be represented by the equation $^{235}_{92}\text{U} + ^{1}_{0}\text{n} \rightarrow ^{141}_{56}\text{Ba} + ^{92}_{36}\text{Kr} + 3\,^{1}_{0}\text{n}$. The variation with nucleon number $A$ of the binding energy per nucleon $B_E$ is shown in Fig. 3.4. On Fig. 3.4, mark the position of the nucleus $^{235}_{92}\text{U}$ on the line (label this point U).

(d(ii))[2]

On Fig. 3.4, mark the position of the nucleus $^{141}_{56}\text{Ba}$ on the line (label this point Ba).

(d(iii))[2]

On Fig. 3.4, mark the position of the nucleus $^{92}_{36}\text{Kr}$ on the line (label this point Kr).

Worked solution & mark scheme

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