Question

Two harmonic motions are represented by the equations $y_1=10sin(3\pi t+\frac{\pi }{4}),y_2=5(sin3\pi t+\sqrt{3}sin3\pi t)$. Then their Amplitudes are in the ratio of

• A. 2:1
• B. 1:2
• C. 1:1
• D. 4:1

Answer 1

The correct option is C 1:1

$A_1=10$ and $A_2={[5^2+(5\sqrt{3}{)}^2]}^{1/2}=10$