The vibration of a string fixed at both ends are described by Y= … - Vidyadip

MCQ

The vibration of a string fixed at both ends are described by $Y= 2 \,\,sin(\pi x) \,\,sin\,\,(100\pi t)$ where $Y$ is in $mm$,$x$ is in $cm$,$t$ in $sec$ then

A
Maximum displacement of the particle at $x = 1/6 \,\,cm$ would be $1 \,\,mm$.
B
velocity of the particle at $x = 1/6 \,\,cm$ at time $t = 1/600\,\, sec$ will be $157 {\sqrt 3 }\,\, mm/s$
C
If the length of the string be $10\,\, cm,$ number of loop in it would be $5$
✓
both $(A)$ and $(B)$

✓

Answer

Correct option: D.

both $(A)$ and $(B)$

d

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