All the edges of a block with parallel faces are unequal. Its longest edge is twice its shortest edge. The ratio of the maximum to minimum resistance between parallel faces is |
2 4 8 16 |
4 |
The correct answer is option 2: 4 $\text{Let longest edge is 2L , Shortest edge is L}$. $\text{Resistivity} = \rho$ ,$Thickness = t$ $\text{Maximum Area} = 2Lt$ , $\text{Minimum area} = Lt$ $ R_{max} = \frac{\rho.L_{max}}{A_{min}} = \frac{\rho.2L}{L.t} = \frac{2\rho}{t}$ $ R_{min} = \frac{\rho.L_{min}}{A_{min}} = \frac{\rho.L}{2L.t} = \frac{\rho}{2t}$ $\Rightarrow \frac{R_{max}}{R_{min}} = 4$ |