In the given circuit ' $a$ ' is an arbitrary constant. The value of $m$ for which the equivalent circuit resistance is minimum, will be $\sqrt{\frac{ x }{2}}$. The value of $x$ is ...........
  • A$3$
  • B$4$
  • C$5$
  • D$6$
JEE MAIN 2022, Diffcult
art

Download our app
and 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

  • 1
    Coefficient of linear expansion of material of resistor is $\alpha$. Its temperature coefficient of resistivity and resistance are $\alpha_\rho$ and $\alpha_R$ respectively, then correct relation is
    View Solution
  • 2
    If current in an electric bulb changes by $1\%$, then the power will change by ............ $\%$
    View Solution
  • 3
    The resistance of a bulb filmanet is $100\,\Omega$ at a temperature of $100\,^o  C$. If its temperature coefficient of resistance be $0.005$ per $^o C$, its resistance will become $200\,\Omega$ at a temperature of ................ $^oC$
    View Solution
  • 4
    The equivalent resistance of the circuit shown below between points $a$ and $b$ is $..........\Omega$
    View Solution
  • 5
    The equivalent resistance between $A$ and $B$ for the mesh shown in the figure is ......... $\Omega$
    View Solution
  • 6
    A 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
  • 7
    A potentiometer wire $AB$ having length $L$ and resistance $12\, r$ is joined to a cell $D$ of $emf$ $\varepsilon $ and internal resistance $r$. A cell $C$ having $emf$ $\varepsilon /2$ and internal resistance $3r$ is connected. The length $AJ$ at which the galvanometer as shown in figure shows no deflection is
    View Solution
  • 8
    A square shaped wire with resistance of each side $3\, \Omega$ is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of $\Omega$ will be ......
    View Solution
  • 9
    For the circuit given below, the Kirchoff's loop rule for the loop $BCDEB$ is given by the equation
    View Solution
  • 10
    Two identical cells each of emf $1.5 \,V$ are connected in parallel across a parallel combination voltmeter connected in the circuit measures $1.2 \,V$.

    The internal resistance of each cell is.................$\Omega$

    View Solution