Phase difference between a particle at a compression and a particle at the next rarefaction is

Zero

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\frac{π}{2}

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π

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\frac{π}{4}

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Solution

The correct option is B $π$
Phase difference between two successive compression of rarefaction is $2 π$
As rarefaction appears between two compression, phase difference is $π$ .

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f (x)

⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} x + a \sqrt{2} sin x, & 0 \leq x < \frac{π}{4} 2 x cot x + b, & \frac{π}{4} \leq x \leq \frac{π}{2} a cos 2 x - b sin x, & \frac{π}{2} < x \leq π \end{matrix}

x = \frac{π}{4}, \frac{π}{2}

2 π

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