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QAIPM-2015-Ph-1322: NEET 2015 Physics - Class 11 AIPM-2015-Ph-1322 Solution: When two displacements represented by $y_1 = a ( t)$ and…

When two displacements represented by

y_1 = a\sin(\omega t)

and

y_2 = b\cos(\omega t)

are superimposed the motion is simple harmonic with amplitude

\sqrt{a^2+b^2}

simple harmonic with amplitude

\frac{a+b}{2}

not a simple harmonic simple harmonic with amplitude

\frac{a}{b}

A simple harmonic with amplitude $\sqrt {{a^2} + {b^2}}$ a 2 + b 2 _
B simple harmonic with amplitude ${{\left( {a + b} \right)} \over 2}$ 2 ( a + b ) _
C not a simple harmonic
D simple harmonic with amplitude ${a \over b}$ b a _

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