Two simple harmonic motions are represented by the equations $x_1 = 5\sin\left(2\pi t + \frac{\pi}{4}\right), x_2 = 5\sqrt{2}(\sin \pi t + \cos 2\pi t)$ . The ratio of the amplitude of $x_1$ and $x_2$ is
A
1
B
$1 : \sqrt{2}$
C
$1 : 2$
D
$1 : 2\sqrt{2}$

Question

Two simple harmonic motions are represented by the equations $x_1 = 5\sin\left(2\pi t + \frac{\pi}{4}\right), x_2 = 5\sqrt{2}(\sin \pi t + \cos 2\pi t)$ . The ratio of the amplitude of $x_1$ and $x_2$ is

A

1

B

$1 : \sqrt{2}$

C

$1 : 2$

D

$1 : 2\sqrt{2}$

Accepted Answer

$1 : 2$

Answer

1

Answer

$1 : \sqrt{2}$

Answer

$1 : 2\sqrt{2}$

AIIMS 2019 Physics Harmonic Motion MCQ Question

Correct Answer

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