Physics - Current Electricity Question with Solution | TestHub

The effective resistance of the infinite ladder between$\mathrm{A}$and$\mathrm{P}$will be less than one.

$R_{\mathrm{A}\mathrm{P}}<1\mathrm{ }\mathrm{\Omega }$

Similarly, the effective resistance of the infinite ladder between$\mathrm{B}$and$\mathrm{Q}$will also be less than one.

$R_{\mathrm{B}\mathrm{Q}}<1\mathrm{ }\mathrm{\Omega }$

Therefore resistance between$\mathrm{A}$and$\mathrm{B}$is

$R_{\mathrm{A}\mathrm{B}}=R_{\mathrm{A}\mathrm{P}}+R_{\mathrm{P}\mathrm{Q}}+R_{\mathrm{Q}\mathrm{B}}$

As$R_{\mathrm{P}\mathrm{Q}}=1\mathrm{ }\mathrm{\Omega }$

Therefore$1 \mathrm{\Omega }<R_{\mathrm{A}\mathrm{B}}<3\mathrm{ }\mathrm{\Omega }$