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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
Which of the following is not true for this progressive wave $y = 4\sin 2\pi \left( {\frac{t}{{0.02}} - \frac{x}{{100}}} \right)$ where $y$ and $x$ are in $cm$ & $t$ in $sec$
  • A
    Its amplitude is $4 cm$
  • B
    Its wavelength is $100 cm$
  • C
    Its frequency is $50$ cycles/sec
  • ✓
    Its propagation velocity is $50 \times {10^3}\,cm/sec$
✓

Answer

Correct option: D.
Its propagation velocity is $50 \times {10^3}\,cm/sec$
d
(d) $y = 4\sin 2\pi \left( {\frac{t}{{0.02}} - \frac{x}{{100}}} \right)$.

Comparing this equation with $y = a\sin 2\pi \left( {\frac{t}{T} - \frac{x}{\lambda }} \right)$

$v = \frac{{{\rm{Co - efficient \,of\, }}t}}{{{\rm{Co - efficient\, of\, }}x}} = \frac{{1/0.02}}{{1/100}}$

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