In order to measure the internal resistance $r_1$ of a cell of emf $\varepsilon$, a meter bridge of wire…

In order to measure the internal resistance $r_1$ of a cell of emf $\varepsilon$, a meter bridge of wire resistance $R_0 = 50 \, \Omega$, a resistance $\frac{R_0}{2}$, another cell of emf $\frac{\varepsilon}{2}$ (internal resistance $r$) and a galvanometer $G$ are used in a circuit, as shown in the figure. If the null point is found at $l = 72 \, cm$, then the value of $r_1 = \_\_\_\_ \, \Omega$.

 

Solution

Resistance of potential wire is R0=50 Ω

Resistance of 100 cm wire =50 Ω

So, Resistance of 72 cm wire =50100×72=36 Ω

Current,

I=ε214+25=εr1+75

r1=3 Ω

!

Asked in: JEE Advanced 2021 (Paper 2)

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