A tuning fork A, marked 512 Hz, produces 5 beats per second, where sounded with another unmarked tuning fork B. If B is loaded with wax the number of beats is again 5 per second. What is the frequency of the tuning fork B when not loaded?

<p><span data-teams="true">This is a short answer type question as classified in NCERT Exemplar</span></p><p>Frequency of tuning fork A</p><p><span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi>v</mi> </mrow> </mrow> <mrow> <mrow> <mi>A</mi> </mrow> </mrow> </msub> <mo>=</mo> <mn>512</mn> </math> </span>Hz</p><p>Probable frequency of tuning fork B</p><p><span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi mathvariant="normal">v</mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">B</mi> </mrow> </mrow> </msub> <mo>=</mo> <msub> <mrow> <mrow> <mi mathvariant="normal">v</mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">A</mi> </mrow> </mrow> </msub> <mo>+</mo> <mn>5</mn> <mo>=</mo> <mn>512</mn> <mo>±</mo> <mn>5</mn> <mo>=</mo> <mn>517</mn> </math> </span> Hz or 507Hz</p><p>When B is loaded its frequency reduces .</p><p>If it is 517Hz it might reduced to 507Hz given again a beat of 5Hz</p><p>If it 507Hz reduction will always increase the beat frequency, hence <span contenteditable="false"> <math> <msub> <mrow> <mrow> <mi>v</mi> </mrow> </mrow> <mrow> <mrow> <mi>B</mi> </mrow> </mrow> </msub> <mo>=</mo> <mn>517</mn> </math> </span>Hz</p>

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