JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The equation of stationary wave is \(\mathrm{y}=2 \mathrm{a} \sin \left(\frac{2 \pi \mathrm{nt}}{\lambda}\right) \cos \left(\frac{2 \pi \mathrm{x}}{\lambda}\right)\) Which of the following is NOT correct?
- A The dimensions of nt is \([L]\)
- B The dimensions of \(n\) is \(\left[\mathrm{LT}^{-1}\right]\)
- C The dimensions of \(n / \lambda\) is \([T]\)
- D The dimensions of \(x\) is \([L]\)
Answer & Solution
Correct Answer
(C) The dimensions of \(n / \lambda\) is \([T]\)
Step-by-step Solution
Detailed explanation
Comparing the given equation with standard equation of standing \(\frac{2 \pi \mathrm{n}}{\lambda}=\omega \& \frac{2 \pi}{\lambda}=\mathrm{k}\) \({\left[\frac{\mathrm{n}}{\lambda}\right]=[\omega]=\mathrm{T}^{-1}}\) \({[\mathrm{nt}]=[\lambda]=\mathrm{L}}\)…
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