JEE Main 2022 · 28 Jun · Shift 1 · Physics Q52

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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 ______ $\Omega$ .

Metre bridge: a 5 V cell and key K across the wire AB; 15 Ω in the left gap and R in the right gap; a galvanometer G from the junction of the gaps to a jockey on the wire.

Your answer

Answer and worked solution

Official answer: 19

Corrected lengths. $l_1=43+2=45$ cm on the 15 Ω side, $l_2=57$ cm.

Balance. $R=15\times\dfrac{57}{45}=19$ Ω.

Answer: 19

Topics:Wheatstone bridge and metre bridge Metre bridge and Ohm's law experiments

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JEE Main 2022 · 28 Jun · Shift 1, Physics question 52