A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 $\Omega$ . The galvanometer (G) shows null deflection when tapping key is at 43cm mark from end A. If the end correction for end A is 2cm. Then the determined value of R will be ________ $\Omega$ .

 

<p>At null point:</p><p><span contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> <mn>5</mn> </mrow> <mrow> <mn>4</mn> <mn>3</mn> <mo>+</mo> <mn>2</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>R</mi> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mo>−</mo> <mn>4</mn> <mn>3</mn> </mrow> </mfrac> </mrow> </math> </span></p><p><span contenteditable="false"> <math> <mrow> <mo>⇒</mo> <mi>R</mi> <mo>=</mo> <mn>1</mn> <mn>9</mn> <mi>Ω</mi> </mrow> </math> </span></p>

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