State the principle of superposition. State the condition(s) which must be satisfied by the
differential equation of SHM so that the principle of superposition holds. Two collinear
simple harmonic oscillations, each of amplitude 4 cm, are superposed to obtain an
oscillation of amplitude 4(2+root 2)^1/2 cm.If the initial phase difference between the
superposing oscillations is now increased by 15°, what will be the amplitude of the
resultant oscillation?

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