Turito Academy

Test Prep

Global form fields

Two vibrating strings of the same material but of lengths Land  2L have radii 2r and r respectively  They arestretched under the sarme tension  Both the string vibrate in their fundamental modes  Theone of length L with frequency <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAOCAYAAADJ7fe0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAIdJREFUeNpjYICAICBeyoAJ9gKxFwORQAWIL6CJ2QPxSQYSwTcgZkLiHwdiF1INAWnSg7I9gPggAxlgIRCHQtkgr1mSY0gWEHcBcQAQ78ahRg2Ia7GEHxyAYmEdEF8BYgMcahYDcRoQ/8dlCBcQ/wDiTUS4+j8+yQ9ArEOpIcSCUUNQNaNjBgCAjh82SX1yOQAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+djwvbWk+PG1uPjE8L21uPjwvbXN1Yj48L21hdGg+LOdncAAAAABJRU5ErkJggg==" class="Wirisformula" alt="v subscript 1" width="17" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»v«/mi»«mn»1«/mn»«/msub»«/math»'/> and the other with frequency <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAOCAYAAADJ7fe0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAKRJREFUeNpjYICAICBeyoAJ9gKxFwORQAWIL6CJ2QPxSQYSwTcgZkLiHwdiF1INAWnSg7I9gPggAxlgIRCHQtkgr1mSY0gWEHcBcQAQ78Yi/x+KfwHxUWg4YgBQLKwD4itAbIDHMiaoheewSXIB8Q8g3kSky3/gkvgAxDpEGGBPbsDDgCQ0TJTINUANiLdADSLbBduAmI8Sb4AM0GCgEPzHgsEAAEhaIIIbZQnGAAAAYHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT52PC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD6DTiq6AAAAAElFTkSuQmCC" class="Wirisformula" alt="v subscript 2" width="17" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»v«/mi»«mn»2«/mn»«/msub»«/math»'/> what is the ratio <img src="data:image/png;base64,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" class="Wirisformula" alt="v subscript 1 divided by v subscript 2 end subscript" width="39" height="19" style="vertical-align:-10px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»v«/mi»«mrow»«mn»1«/mn»«mo»/«/mo»«msub»«mi»v«/mi»«mn»2«/mn»«/msub»«/mrow»«/msub»«/math»'/>?

Solution for the question - two vibrating strings of the same material but of lengths land 2l haveradii 2r and r respectively they arestretched under the sarme