Question

A simple wave motion represents by $y=5(\sin 4\pi t+\sqrt{3}\cos 4\pi t)$ . Its amplitude is

• A. 5
• B. 5 $\sqrt{3}$
• C. $10\sqrt{3}$
• D. 10

Answer 1

Answer: (A)

$y=5(\sin 4\pi t+\sqrt{3}\cos 4\pi t)$
$y=5(\sin 4\pi t+5\sqrt{3}\cos 4\pi t)$
$A=\sqrt{A_1^2+A_2^2}$
$A=\sqrt{{(5)}^2+{(5\sqrt{3})}^2}$
$=\sqrt{25+75}=\sqrt{100}=10$