A conducting wire of length $ l$ area of cross-section $A$ and electric resistivity $\rho$ is connected between the terminals of a battery. $A$ potential difference $V$ is developed between its ends, causing an electric current.If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would be
  • A$\frac{1}{4} \frac{ VA }{\rho l}$
  • B$\frac{3}{4} \frac{ VA }{\rho l}$
  • C$\frac{1}{4} \frac{\rho l}{ VA }$
  • D$4 \frac{ VA }{\rho l}$
JEE MAIN 2021, Medium
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
    The current in the adjoining circuit will be
    View Solution
  • 2
    A student has $10$ resistors of resistance ‘$r$’. The minimum resistance made by him from given resistors is
    View Solution
  • 3
    When connected across the terminals of a cell, a voltmeter measures $5\,V$ and a connected ammeter measures $10\, A$ of current. A resistance of $2\, ohms$ is connected across the terminals of the cell. The current flowing through this resistance will be ............ $A$
    View Solution
  • 4
    The equivalent resistance between $A$ and $B$ is $......$
    View Solution
  • 5
    A $10\,m$ long potentiometer wire has a potential gradient of $0.0025\, V/cm$. Calculate the distance of null point when the wire is connected to a $1.025\,V$ standard cell ............... $\mathrm{m}$
    View Solution
  • 6
    In the given potentiometer circuit length of the wire $AB$ is $3\,m$ and resistance is $R = 4.5 \,\Omega.$ The length $AC$ for no deflection in galvanometer is ................ $\mathrm{m}$
    View Solution
  • 7
    Two square metal plates $A$ and $B$ are of the same thickness and material. The side of $B$ is twice that of $A$. These are connected as shown in series. If the resistances of $A$ and $B$ are denoted by $R_A$ and $R_B,$ then $(R_A/R_B)$ is
    View Solution
  • 8
    What will be equivalent resistance of circuit between $x$ and $y$ 
    View Solution
  • 9
    A solenoid is at potential difference $60\, V$ and current flows through it is $15$ ampere, then the resistance of coil will be ............ $\Omega$
    View Solution
  • 10
    To get the maximum current from a parallel combination of $n$ identical cells each of internal resistance $r$ in an external resistance $R$, when
    View Solution