KCET · Physics · Waves and Sound
The equation of a stationary wave is \( y=2 \sin \left(\frac{\Pi x}{15}\right) \cos (48 \pi t) \). The distance between a node and its next antinode is
- A \( 22.5 \) units
- B \( 7.5 \) units
- C \( 30 \) units
- D \( 1.5 \) units
Answer & Solution
Correct Answer
(B) \( 7.5 \) units
Step-by-step Solution
Detailed explanation
(B)
\( y=2 \sin \left(\frac{\Pi x}{15}\right) \cos (48 \pi t) \)
\( \frac{2 \pi}{\lambda}=\frac{I I}{15} \)
\( \lambda=30 \)
\( \frac{\lambda}{4}=\frac{30}{4}=7.5 \)
\( y=2 \sin \left(\frac{\Pi x}{15}\right) \cos (48 \pi t) \)
\( \frac{2 \pi}{\lambda}=\frac{I I}{15} \)
\( \lambda=30 \)
\( \frac{\lambda}{4}=\frac{30}{4}=7.5 \)
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