Post-UTME Physics 2016 Objective — Question 4
Question 4 of 20 from the Post-UTME Screening (Post-UTME) Physics 2016 Objective paper, with the correct answer and a full explanation.
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A sinusoidal wave travelling along a string is described by the equation y = 30 sin[15*pi(4t-2x)]. What is the wavelength of this wave if t is in seconds and x is in metres?
- A. 30.0cm
- B. 60.0cm
- C. 3.0cm
- D. 6.7cmCorrect
Explanation
Expanding: y = 30 sin(60*pi*t - 30*pi*x). Comparing to y=A sin(wt-kx), k = 30*pi. Wavelength = 2*pi/k = 2*pi/(30*pi) = 1/15 m = 0.067m = 6.7cm.
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