MCQ
Equation of a stationary wave is $y = 10\sin \frac{{\pi x}}{4}\cos 20\pi\, t.$ Distance between two consecutive nodes is
- ✓$4$
- B$2$
- C$1$
- D$8$
✓
Answer
Correct option: A.
$4$
a
(a) On comparing the given equation with standard equation $\frac{{2\pi }}{\lambda } = \frac{\pi }{4} \Rightarrow \lambda = 8$
Hence distance between two consecutive nodes $\frac{\lambda }{2} = 4$
(a) On comparing the given equation with standard equation $\frac{{2\pi }}{\lambda } = \frac{\pi }{4} \Rightarrow \lambda = 8$
Hence distance between two consecutive nodes $\frac{\lambda }{2} = 4$
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