A $1\,m$ long wire is broken into two unequal parts $X$ and $Y$ The $X$ part of the wire is streched into another wire $W$. Length of $W$ is twice the length of $X$ and the resistance of $W$ is twice that of $Y$. Find the ratio of length of $X$ and $Y$.
JEE MAIN 2022, Medium
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
- 1A wire of resistance $12\,ohms$ per meter is bent to form a complete circle of radius $10\, cm.$ The resistance between its two diametrically opposite points, $A$ and $B$ as shown in the figure isView Solution
- 2As the switch $S$ is closed in the circuit shown in figure, current passing through it is ................ $\mathrm{A}$View Solution
- 3A wire of resistance $R$ and radius $r$ is stretched till its radius became $r / 2$. If new resistance of the stretched wire is $x R$, then value of $x$ is $\qquad$View Solution
- 4$A$. The drift velocity of electrons decreases with the increase in the temperature of conductor.View Solution
$B$. The drift velocity is inversely proportional to the area of cross-section of given conductor.
$C$. The drift velocity does not depend on the applied potential difference to the conductor.
$D$. The drift velocity of electron is inversely proportional to the length of the conductor.
$E$. The drift velocity increases with the increase in the temperature of conductor.
Choose the correct answer from the options given below:
- 5Water 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
- 6In $a$ wire of cross-section radius $r$, free electrons travel with drift velocity $v$ when a current $I$ flows through the wire. What is the current in another wire of half the radius and of the same material when the drift velocity is $2v$?View Solution
- 7The ratio of the equivalent resistance of the network (shown in figure) between the points $a$ and ${b}$ when switch is open and switch is closed is ${x}: 8 .$ The value of ${x}$ is ..... .View Solution
- 8Effective resistance between $A$ and $B$ is ........... $\Omega$View Solution
- 9A torch bulb rated as $4.5\, W$, $1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ................ $V$View Solution
- 10There are $8$ equal resistances $R$. Two are connected in parallel, such four groups are connected in series, the total resistance of the system will beView Solution