A certain piece of silver of given mass is to be made like a wire. Which of the following combination of length $(L)$ and the area of cross-sectional $(A) $ will lead to the smallest resistance
  • A$L$ and $A$
  • B$2L$ and $A/2$
  • C$L/2$ and $2 A$
  • D
    Any of the above, because volume of silver remains same
Easy
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
    A $9\, V$ battery with internal resistance of $0.5\,\Omega $ is connected across an infinite network as shown in the figure. All ammeters $A_1 , A_2, A_3$ and voltmeter $V$ are ideal. Choose correct statement
    View Solution
  • 2
    The value of current in the $6 \,\Omega$ resistance is $....\,A$
    View Solution
  • 3
    A thermocouple of negligible resistance produces an $e.m.f.$ of $40\,\mu V{/^o}C$ in the linear range of temperature. A galvanometer of resistance $10\; ohm$ whose sensitivity is $1\;\mu A/div$, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be
    View Solution
  • 4
    Two bulbs of $100\, W$ and $200\, W$ working at $220$ $volt$ are joined in series with $220$ $volt$ supply. Total power consumed will be approximately ........... $watt$
    View Solution
  • 5
    For which of the following dependence of drift velocity $v$ on electric field $E$ is ohm's law obeyed
    View Solution
  • 6
    In a building there are $15$ bulbs of $45\; \mathrm{W}, 15$ bulbs of $100\; \mathrm{W}, 15$ small fans of $10 \;\mathrm{W}$ and $2$ heaters of $1 \;\mathrm{kW}$. The voltage of electric main is $220\; \mathrm{V}$. The minimum fuse capacity (rated value) of the building will be: .......... $A$
    View Solution
  • 7
    There is a current of $1.344\, amp$ in a copper wire whose area of cross-section normal to the length of the wire is $1\,m{m^2}$. If the number of free electrons per $c{m^3}$ is $8.4 \times {10^{22}}$, then the drift velocity would be
    View Solution
  • 8
    In the circuit shown below, the switch $S$ is connected to position $P$ for a long time so that the charge on the capacitor becomes $q _1 \mu C$. Then $S$ is switched to position $Q$. After a long time, the charge on the capacitor is $q _2 \mu C$.

    ($1$) The magnitude of $q_1$ is

    ($2$) The magnitude of $q _2$ is

    Give the answer of question ($1$) and ($2$)

    View Solution
  • 9
    To find the resistance of a galvanometer by the half deflection method the following circuit is used with resistances $R_1 = 9970\,\Omega,$ $R_2 = 30\,\Omega$ and $R_3 = 0\,\Omega.$ The deflection in the galvanometer is $d$. With $R_3 = 107\,\Omega$ the deflection changed to $\frac {d}{2}$The galvanometer resistance is approximately ............... $\Omega$
    View Solution
  • 10
    The drift velocity of free electrons in a conductor is ‘$v$’ when a current ‘$i$’ is flowing in it. If both the radius and current are doubled, then drift velocity will be
    View Solution