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JEE Main 202228 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Morning Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2022 · 28 June · Morning Shift · Physics · Current Electricity

A meter bridge setup is shown in the figure. It is used to...

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance RR using a given resistor of 15Ω15Ω. The galvanometer (G)\left(G\right) shows null defection when tapping key is at 43cm43cm mark from end AA. If the end correction for end AA is 2cm2cm, then the determined value of RR will be ΩΩ.

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of

Correct answer

19

Step-by-step solution

Using the conditions of a balanced wheatstone bridge and adding the end correction.

15R=l+e(L+e)−(l+e)⇒15(43+2)=R(102−45)⇒R=5745×15\dfrac{15}{R} = \dfrac{l + e}{\left(L + e\right) - \left(l + e\right)} ⇒ \dfrac{15}{\left(43 + 2\right)} = \dfrac{R}{\left(102 - 45\right)} ⇒ R = \dfrac{57}{45} \times 15

⇒R=19Ω⇒ R = 19Ω

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