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NEET 2011 (AIPMT, Prelims) · Progressive Wave Equation

Progressive Wave Equation question from NEET 2011 (AIPMT, Prelims)

Q90NEET 2011 · AIPMT · PRELIMSEasy

Progressive Wave Equation

Two waves are represented by the equations

y1 = $a$ sin( $\omega$ t + kx + 0.57) m and

y2 = acos( $\omega$ t + kx) m, where x is in meter and t $\text{in}$ sec. The phase difference between them is

Show answer and solution

Answer: (a)

$y_2 = a\cos(\omega t + kx) = a\sin(\omega t + kx + 1.57)$
$\Delta\phi = 1.57 - 0.57 = 1.0$ rad
So the answer is (a) 1.0 radian.

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