When two displacements represented by $y_1 = asin\left( \omega t \right)$ and $y_2 = bcos\left(\omega t \right)$ are superimposed the motion is
  • A
    not a simple harmonic
  • Bsimple harmonic with amplitude $\frac{a}{b}$
  • Csimple harmonic with amplitude  $\sqrt {{a^2} + {b^2}} \;$
  • Dsimple harmonic with amplitude  $\frac{{\left( {a + b} \right)}}{2}$ 
AIPMT 2015, Medium
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