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?

In a potentiometer experiment, the galvanometer shows no deflection when a cell is connected across $60\,\,cm$ of the potentiometer wire. If the cell is shunted by a resistance of $6\,\,{\rm{\Omega }}$, the balance is obtained across $50\,\,cm$ of the wire. The internal resistance of the cell is

A potentiometer wire has a uniform resistance per unit length. When a cell of emf E is connected, the balance length is l. If the length of the potentiometer wire is increased by 25% without changing the driving cell, the new balance length for the same cell E will be:

In a potentiometer experiment, the balancing length for a cell is found to be $l$. If the driver cell is replaced by another cell of double the emf, what will be the new balancing length, assuming all other parameters remain constant?

Which of the following factors does NOT affect the balancing length of a potentiometer?

The length of a potentiometer wire is $l$. A cell of emf E is balanced at a length $l/4$ from the positive end of the wire. If the length of the wire is increased by $l/2$, at what distance will the same cell give a balanced point? (Potentiometer battery is ideal)

The emf of a battery '$A$' is balanced by a length of $80\,cm$ on a potentiometer wire. The emf of a

standard cell $1V$ is balanced by $50cm$. The emf of '$A$' is

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.

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?

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.

A potentiometer wire of length L and resistance R is connected to a driver cell of negligible internal resistance and emf E. A cell of emf E/2 is balanced at a length L/2. If the length of the potentiometer wire is doubled, at what length will the same cell be balanced?