Four statements related to deriving the relationship between wave speed

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

Four statements related to deriving the relationship between wave speed, wavelength and frequency are listed below, but they are not in a logical order. P. Speed is defined as distance travelled divided by the time taken. Q. In one time period TT, a wave travels a distance equal to one wavelength λ\lambda. R. Frequency ff is the reciprocal of the time period. S. Substituting the value of TT in the speed expression gives the required relation. (i) Arrange the statements P, Q, R and S in the correct logical order needed to arrive at the relation between v,λv, \lambda and ff. (ii) Using the arranged statements, write the complete derivation that leads to the expression v=λfv = \lambda f. (iii) State one basic assumption about the medium that is implicitly made in this derivation.

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