The displacement as a function of position \( x \) and time \( t \) is given by \( y(x, t)=a \si...

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The displacement as a function of position \( x \) and time \( t \) is given by \( y(x, t)=a \sin (k x-\omega t+\phi) \).
The range of possible value of \( y(x, t) \), if \( a \) is a positive constant, is
(a) \( -a \leq y(x, t) \leq a \)
(b) \( -\frac{a}{2} \leq y(x, t) \leq \frac{a}{2} \)
(c) \( -1 \leq y(x, t) \leq+1 \)
(d) \( 0 \leq y(x, t) \leq a \)
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