Q141 / 160 · TS EAMCET 2022 (20 Jul Shift 1) · Physics

Which of the following wave has the largest wave speed?

  • A
    $y(x, t)=2 \sin (2 x-2 t)$
  • Correct answer
    B
    $y(x, t)=3 \sin (2 x-3 t)$
  • C
    $y(x, t)=2 \sin (3 x-2 t)$
  • D
    $y(x, t)=3 \sin (5 x-2 t)$

Solution

$V=\frac{\omega}{K}=\frac{\text { coeff. of } t}{\text { coeff. of } x}$ Clearly, highest wave speed is for wave equation given in option (b), which is given as $\mathrm{V}=\frac{3}{2}=1.5 \mathrm{~m} / \mathrm{s}$

Hence, the correct answer is option: 'B'.

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