Graph shows three waves that are separately sent along a string that is stretched under a certain tension along an $x -$ axis. If $ω_{1}, ω_{2}$ and $ω_{3}$ are their angular frequencies respectively. Then

$ω_{1} = ω_{3} > ω_{2}$
$ω_{1} > ω_{2} > ω_{3}$
$ω_{2} > ω_{1} = ω_{3}$
$ω_{1} = ω_{2} = ω_{3}$

Question

Graph shows three waves that are separately sent along a string that is stretched under a certain tension along an $x -$ axis. If $ω_{1}, ω_{2}$ and $ω_{3}$ are their angular frequencies respectively. Then

$ω_{1} = ω_{3} > ω_{2}$
$ω_{1} > ω_{2} > ω_{3}$
$ω_{2} > ω_{1} = ω_{3}$
$ω_{1} = ω_{2} = ω_{3}$

Toppr Admin · Accepted Answer

Frequencies and angular frequencies- for 1 and 3 are same- as their wavelengths are equal- i-e- -x3C9-1-x3C9-3-As wavelength of 2 is lesser- -x3C9-2-lt-x3C9-1-x3C9-3-because angular-xA0-frequency-x221D-1wavelength

Graph shows three waves that are separately sent along a string that is stretched under a certain tension along an x− axis. If ω1,ω2 and ω3 are their angular frequencies respectively. Then ω1=ω3>ω2ω1>ω2>ω3ω2>ω1=ω3ω1=ω2=ω3

frequencies and angular frequencies, for 1 and 3 are same, as their wavelengths are equal, i.e., ω1=ω3.As wavelength of 2 is lesser, ω2<ω1=ω3.because angular frequency∝1wavelength

frequencies and angular frequencies, for 1 and 3 are same, as their wavelengths are equal, i.e., $ω_{1} = ω_{3}$ .
As wavelength of 2 is lesser, $ω_{2} < ω_{1} = ω_{3}$ .
because $a n g u l a r f r e q u e n c y \propto \frac{1}{w a v e l e n g t h}$