Meter Bridge

In a meter bridge balance point is found at a distance  $l_1$  with resistances R and S as shown in the figure.



When an unknown resistance X is connected in parallel with the resistance S, the balance point shifts to a distance $l_2$ . Find the expression for X in terms of  $l_1$ ,  $l_2$  and S.

Statement 1 : In post-office box experiment, the battery key is pressed before the galvanometer key.

Statement 2 : In post-office box experiment, if galvanometer key is pressed first and then we press battery key, then galvanometer may get damage.

On interchanging the resistances, the balance point of a meter bridge shifts to the left by $10 \mathrm{cm}$10 cm. The resistance of their series combination is $\mathrm{1 }\mathrm{k\Omega }$ . How much was the resistance on the left slot before interchanging the resistances?

The circuit diagram given in the figure shows the experimental setup for the measurement of unknown resistance by using a meter bridge. The wire connected between the points $P \& Q$ has non-uniform resistance such that resistance per unit length varies directly as the distance from the point $P.$ Null point is obtained with the jockey $J$ with $R_1$ and $R_2$ in the given position. On interchanging the positions $R_1$ and $R_2$ in the gaps the jockey has to be displaced through a distance $\Delta$ from the previous position along the wire to establish the null point. If the ratio of $\frac{R_1}{R_2}=3,$ find the value of $\Delta$ (in $cm$). Ignore any end corrections. [Take $\sqrt{3}=1.7$]

Figure shows a Meter bridge wire $AC$ has uniform cross-section. The length of wire $AC$ is $100 \mathrm{cm}$ $X$ is a standard resistor of $4 \mathrm{\Omega }$ and $Y$ is a coil. When $Y$ is immersed in melting ice the null point is at $40 \mathrm{cm}$ from point $A$. When the coil $Y$  is heated to $100°\mathrm{C},$ a $12 \mathrm{\Omega }$ resistor has to beconnected in parallel with $Y$ in order to keep the bridge balanced at the same point. The temperature coefficient of resistance of the coil is $x\times {10}^{-2} \mathrm{SI}$ units. Find the value of $x$.

Consider the meter bridge circuit without neglecting end corrections. If we used $100 \mathrm{\Omega }$ and $200 \mathrm{\Omega }$ resistance in place of $R$ and $S$ respectively, we get null deflection at $l_1=33.0 \mathrm{cm}$. If we interchange the resistances, the null deflection was found to be at $l_2=67.0 \mathrm{cm}$. If $\alpha$ and $\beta$ are the end correction, then the value of $\alpha +\beta$ should be

If the wire in the experiment to determine the resistivity of a material using metre bridge is replaced by copper or hollow wire the balance point i.e. null point shifts to

Null method is superior over deflection method because

Where do we get the balancing point of the meter bridge generally?

Two resistances $\mathrm{X}$ and $\mathrm{Y}$ in the two gaps of a meter-bridge gives a null point dividing the wire in the ratio $2:3$. If each resistance is increased by $30 \mathrm{\Omega }$, the null point divides the wire in the ratio $5:6$, choose the correct value of $\mathrm{X}$ and $\mathrm{Y}$.

Where do we get the balancing point of the meter bridge generally?

With resistance $P$ and $Q$ in the left and the right gap respectively of a meter bridge, the null point divides the wire in the ratio $3:4$ . When $P$ and $Q$ are increased by $20 \mathrm{\Omega }$ each, the mull point divides the wire in the ratio $5:6$. Then the values of $P,Q$ respectively are ___.____

In a meter bridge (as shown below), the null point is found at a distance of $40 \mathrm{cm}$ from $A.$ If now a resistance of $12 \mathrm{\Omega }$ is connected in parallel with $S,$ the null point occurs at $60 \mathrm{cm}$ from $A.$ Determine the value of $R$(in $\mathrm{\Omega }$)

The figure shows a meter bridge wire $AC$ having uniform cross-section. The length of wire $AC$ is $100 \mathrm{cm}\text{.} X$ is a standard resistor of $4 \mathrm{\Omega }$ and $Y$ is a coil. When $Y$ is immersed in melting ice, the null point is at $40 \mathrm{cm}$ from point $A$. When the coil $Y$ is heated to $100°\mathrm{C}$, a $12 \mathrm{\Omega }$ resistor has to be connected in parallel with $Y$ in order to keep the bridge balanced at the same point. The temperature coefficient of resistance of the coil is $n\times$${10}^{-2}$ SI units. Find the value of $n$.

In a metre bridge experiment, null point is obtained at $20 \mathrm{cm}$ from one end of the wire when resistance $X$ is balanced against another resistance $Y$. If $X<Y$, then there will be the new position of the null point from the same end, if one decides to balance a resistance of $4 X$ against $Y$

In a post office box setup find the value of unknown resistance if the graph of galvanometer deflection versus $R$ for the ratio $100:1$ is given as shown

In a metre bridge, the gaps are closed by two resistances $P$ and $Q$ and the balance point is obtained at $40 \mathrm{cm}$. When $Q$ is shunted by a resistance of $10 \mathrm{\Omega }$  the balance point shifts to $50 \mathrm{cm}.$ The values of $P$ and $Q$ are

In a meter bridge experiment, null point is obtained at $20 \mathrm{cm}$ from one end of the wire when resistance $X$ is balanced against another resistance $Y$. If $X<Y$, then what will be the new position of the null point from the same end, if one decides to balance a resistance of $4X$ against $Y$ ?

Two resistances are connected in the two gaps of a meter bridge. The balance point is $20 \mathrm{cm}$ from the zero end. When a resistance $15 \mathrm{\Omega }$ is connected in series with the smaller of two resistance, the null point get shifted to $40 \mathrm{cm}$. What is the smaller of the two resistance values ?

Given that there is no deflection in galvanometer, calculate the value of $\mathrm{R}$.