JEE Mains · Physics · STD 11 - 14. waves and sound
A travelling harmonic wave is represented by the equation \(y(x, t) = 10^{-3}\,sin\,(50t + 2x)\), where \(x\) and \(y\) are in meter and \(t\) is in seconds. Which of the following is a correct statement about the wave?
- A The wave is propagating along the positive \(x-\) axis with speed \(25\, ms^{-1}\).
- B The wave is propagating along the positive \(x-\) axis with speed \(100\, ms^{-1}\).
- C The wave is propagating along the negative \(x-\) axis with speed \(25\, ms^{-1}\).
- D The wave is propagating along the negative \(x-\) axis with speed \(100\, ms^{-1}\).
Answer & Solution
Correct Answer
(C) The wave is propagating along the negative \(x-\) axis with speed \(25\, ms^{-1}\).
Step-by-step Solution
Detailed explanation
\(y=10^{-3} \sin (50 t+2 x)\) Wave is travelling along negative \(X-axis\) Wave speed \(=\frac{\omega}{\mathrm{k}}=\frac{50}{2}=25 \mathrm{m} / \mathrm{s}\)
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