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 an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of $2\,\,m$ when the cell is shunted by a $5\,\,{\rm{\Omega }}$ resistance; and is at a length of $3\,\,m$ when the cell is shunted by a $10\,\,{\rm{\Omega }}$ resistance. The internal resistance of the cell is, then

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 AB is 100 cm long and has a total resistance of 10Ω. It is connected to a driver cell of emf E and internal resistance r. When a cell of emf $E_1$ is balanced against a length of $l_1$, the current through the potentiometer wire is $i_1$. When the cell $E_1$ is shunted by a resistance of 10Ω and balanced against a length $l_2$, the current through the potentiometer wire is $i_2$. Which of the following is true?

In a meter bridge, the gaps are closed by resistances R and S. R being less than S. A balance is obtained when the jockey makes a contact at a point 40cm from the zero end. On shunting S with a resistance of 50 ohm. The balance point moves through 10 cm. The values of R and S

In a potentiometer experiment the balancing with a cell is at length ${\rm{240}}\,\,{\rm{cm}}$. on shunting the cell with a resistance of ${\rm{2}}\,\,{\rm{\Omega }}$, the balancing length becomes ${\rm{120}}\,\,{\rm{cm}}$. the internal resistance of cell is

In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of $2\,\,m$ when the cell is shunted by a $5\,\,{\rm{\Omega }}$ resistance; and is at a length of $3\,\,m$ when the cell is shunted by a $10\,\,{\rm{\Omega }}$ resistance. The internal resistance of the cell is, then

A potentiometer wire of length 1 m and resistance 10 Ω is connected to a 2 V battery. Another cell of emf E balances at a length of 40 cm. If a resistance of 5 Ω is connected across the potentiometer wire, the new balancing length for the same cell E will be: