Question

Two SHMs are represented by the equations
$y1=10sin(3\Omega t+\frac{\Omega }{4})$ and
$y2=5[sin3\Omega t+\sqrt{3}cos3\Omega t]$. their amplitudes and in the ratio

• A. 1:2
• B. 2:1
• C. 1:3
• D. 1:1

Answer 1

The correct option is B 2:1

Compare the given equations with,

$y=a\sin \omega t$

Where a is amplitude of wave

Here, a₁ = 10

a₂ = 5

So the ratio is

$\frac{a_1}{a_2}=\frac{10}{5}=\frac{2}{1}$

Or $2:1$