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A standing wave is formed by two harmoni...

A standing wave is formed by two harmonic waves, `y_1 = A sin (kx-omegat) and y_2 = A sin (kx + omegat)` travelling on a string in opposite directions. Mass density energy between two adjavent nodes on the string.

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A standing wave is formed by two harmonic waves, y_1 = A sin (kx-omegat) and y_2 = A sin (kx + omegat) travelling on a string in opposite directions. Mass density is 'ρ' and area of cross section is S. Find the total mechanical energy between two adjacent nodes on the string.

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Assertion: Two waves y_1 = A sin (omegat - kx) and y_2 = A cos(omegat-kx) are superimposed, then x=0 becomes a node. Reason: At node net displacement due to waves should be zero.