A potentiometer is being used to compare two cells of emfs $E_1$ and $E_2$. The balancing lengths are found to be $l_1$ and $l_2$ respectively. If a resistance R is connected across $E_2$, its balancing length changes to $l_3$. Which of the following relations must hold true?

A battery of ${\rm{6}}\,\,{\rm{volts}}$ is connected to the terminals of a three metre long wire of uniform thickness and resistance of the order of ${\rm{100}}\,\,{\rm{\Omega }}$ . The difference of potential between two points separated by $50\,\,cm$ on the wire will be

In a potentiometer experiment when a battery of emf $2V$ is included in the secondary circuit, the balance point is $500\,cm$. Find the balancing length of the same end when a cadmium cell of emf $1.018V$ is connected to the secondary circuit.

In a potentiometer experiment when a battery of emf $2V$ is included in the secondary circuit, the balance point is $500\,cm$. Find the balancing length of the same end when a cadmium cell of emf $1.018V$ is connected to the secondary circuit.

The material of wire of potentiometer is

In a potentiometer experiment for measuring the emf of a cell, the null point is at ${\rm{480}}\,\,{\rm{cm}}$ when we have a $400\,\,{\rm{\Omega }}$ resistor in series with the cell and galvanometer. If the series resistances is reduced to half, the null point will be at

In a potentiometer experiment, two cells when connected in series, first to support and then to oppose each other, give balancing lengths of 72 cm and 18 cm respectively on the potentiometer wire. Calculate the ratio of their EMFs.

In a potentiometer experiment the balancing length, with a cell is $560\,cm$. When an external resistance of $10\,\Omega$ is connected in parallel to the cell, the balancing length changes by $60\,cm$. Find the internal resistance of the cell.

A potentiometer wire of length 1 m has a resistance of 10 Ω. A cell of emf 2 V and negligible internal resistance is connected to the wire. What is the potential gradient across the wire?

In a potentiometer experiment, the balance point is achieved when no current flows through the galvanometer. This condition ensures accurate EMF measurement because:

Two cells when connected in series are balanced on 8 m on a potentiometer. If the cells are connected with polarities of one of the cells reversed, they balance on 2 m. The ratio of e.m.f.'s of the two cells is