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Question

Physics Question on Current electricity

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 Ω. 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 ___ Ω.

Fig. Meter Bridge

Answer

The correct answer is 19
Using the conditions of a balanced wheat stone bridge and adding the end correction
43+215=57R\frac{43+2}{15} = \frac{57}{R}
R=57×1545R = \frac{57 × 15}{45}
=19Ω= 19Ω