(a) Explain what is meant by the natural frequency of vibration of a system. (b) A block of metal is fixed to one end of a vertical spring. The other end of the spring is attached to an oscillator, as shown in [Figure 4.1]. The amplitude of oscillation of the oscillator is constant. The variation of the amplitude x₀ of the oscillations of the block with frequency f of the oscillations is shown in [Figure 4.2]. (i) Name the effect shown in [Figure 4.2]. (ii) State and explain whether the block is undergoing damped oscillations. (c) State one example in which the effect shown in [Figure 4.2] is useful.
- (a)Explain what is meant by the natural frequency of vibration of a system.[1]
- (b)(i)Name the effect shown in Fig. 4.2.[1]
- (b)(ii)State and explain whether the block is undergoing damped oscillations.[2]
- (c)State one example in which the effect shown in Fig. 4.2 is useful.[1]
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Mark scheme
Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.
- [B1] frequency at which body will vibrate when there is no (resultant external) resistive force acting on it
- [B1] OR frequency at which body will vibrate when there is no driving force / external force acting on it
- [B1] resonance
- [M1] peak is not sharp / peak not infinite height
- [A1] so damped
- [B1] e.g. (quartz crystal) to produce ultrasound
- [B1] (quartz crystal) in watch to keep timing
- [B1] NMR/MRI
- [B1] microwave ovens
- [B1] tuning circuits
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