Question

Graph shows three waves that are separately sent along a string that is stretched under a certain tension along x-axis if ${\omega }_1,{\omega }_2$and${\omega }_3$ are their angular frequencies respectively then

• A. ${\omega }_1={\omega }_3>{\omega }_2$
• B. ${\omega }_1>{\omega }_2>{\omega }_3$
• C. ${\omega }_2>{\omega }_1={\omega }_3$
• D. ${\omega }_1={\omega }_2={\omega }_3$

Answer 1

The correct option is A ${\omega }_1={\omega }_3>{\omega }_2$

We know that

$\omega =\frac{2\pi }{T}=2\pi f$

$\omega$ will be less if time period is more, or if the frequency is less

Now, wave $1$ & $3$ have same frequency & wave $2$ has less frequency than both $1$ & $3$.

$\therefore [{\omega }_1={\omega }_3>{\omega }_2]$

Hence option (A) is correct.