A meter bridge setup is shown in the figure. It is used to determine… | JEE Main 2022 (28 Jun, Shift 1)

Q53JEE Main 2022 · 28 JUN · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

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 43 cm mark from end A. If the end correction for end A is 2 cm, then the determined value of R will be ____________ $\Omega$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 19

End correction at A adds to the left length: $l_A = 43 + 2 = 45\text{ cm}$ ; right length $= 100 - 43 = 57\text{ cm}$ .
$\dfrac{15}{R} = \dfrac{45}{57}$ .
$R = 15 \times \dfrac{57}{45} = 19\ \Omega$ .

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