In a meter bridge, as shown in the figure, it is given that resistance $Y=12.5\, \Omega $ and that the balance is obtained at a distance $39.5\, cm$ from end $A$ (by jockey $J$) . After interchanging the resistances $X$ and $Y$, a new balance point is found at a distance $l_2$ from end $A$. What are the values of $X$and $l_2$ ?
JEE MAIN 2018, Diffcult
Download our app for free and get started
For a balanced meter bridge,
$\frac{X}{39.5}=\frac{Y}{(100-39.5)}$
$\Rightarrow Y=39.5=X \times(100-39.5)$
or, $\quad {\rm{X}} = \frac{{12.5 \times 39.5}}{{60.5}} = 8.16\,\Omega $
${\text { When } X \text { and } Y \text { are interchanged } l_{1} \text { and }(100} $
${\left.-l_{1}\right) \text { will also interchange so, } l_{2}=60.5\, \mathrm{cm}}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The resistances of a wire at temperatures $t\,^oC$ and $0\,^oC$ are related byView Solution
- 2The resistivity of iron is$1 \times {10^{ - 7}}\,ohm - m$. The resistance of a iron wire of particular length and thickness is $1\, ohm$. If the length and the diameter of wire both are doubled, then the resistivity in $ohm - m$ will beView Solution
- 3Water of volume $2\, litre$ in a container is heated with a coil of $1\, kW$ at $27 \,^oC$. The lid of the container is open and energy dissipates at rate of $160\, J/s$. In how much time temperature will rise from $27\,^oC$ to $77\,^oC$ $[$ Given specific heat of water is $4.2\, kJ/kg$ $]$View Solution
- 4A silver and zinc voltameter are connected in series and a current $i$ is passed through them for a time $t$ liberating $W\, gm$ of zinc. The weight of silver deposited is nearly ..............$W$View Solution
- 5$62.5 \times {10^{18}}$ electrons per second are flowing through a wire of area of cross-section $0.1\,{m^2}$, the value of current flowing will be ............ $A$View Solution
- 6Forty electric bulbs are connected in series across a $220\, V$ supply. After one bulb is fused, the remaining $39$ are connected again in series across the same supply. The illumination will beView Solution
- 7Water of volume $2\, litre$ in a container is heated with a coil of $1\, kW$ at $27 \,^oC$. The lid of the container is open and energy dissipates at rate of $160\, J/s$. In how much time temperature will rise from $27\,^oC$ to $77\,^oC$ $[$ Given specific heat of water is $4.2\, kJ/kg$ $]$View Solution
- 8In the circuit, the potential difference across $PQ$ will be nearest to .............. $V$View Solution
- 9In the figure, the potentiometer wire $AB$ of length $L$ and resistance $9r$ is joined to the cell $D$ of $emf$ $\varepsilon $ and internal resistance $r$. The cell $C's$ $emf$ is $\frac{\varepsilon }{2}$and its internal resistance is $2r$. The galvanometer $G$ will show no deflection when the length $AJ$ isView Solution
- 10View SolutionWhen a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become ........ times