TS EAMCET · Physics · Units and Dimensions
When a wave traverses a medium, the displacement of a particle located at \(x\) at a time \(t\) is given by \(y=a \sin (b t-c x)\), where \(a, b\) and \(c\) are constants of the wave, which of the following is a quantity with dimensions?
- A \(\frac{y}{a}\)
- B \(b t\)
- C \(c x\)
- D \(\frac{b}{c}\)
Answer & Solution
Correct Answer
(D) \(\frac{b}{c}\)
Step-by-step Solution
Detailed explanation
Given, \(y=a \sin (b t-c x)\) Comparing the given equation with general wave equation \(y=a \sin \left(\frac{2 \pi t}{T}-\frac{2 \pi x}{\lambda}\right)\) we get \(b=\frac{2 \pi}{T}, c=\frac{2 \pi}{\lambda}\) (a) Dimensions o…
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