Physics - Unit & Dimension Question with Solution | TestHub

$R_s=\frac{R_1{R}_2}{R_1+R_2},$

$\frac{∆R_s}{R_s}\times 100$

$=\frac{∆R_1}{R_1}\times 100+\frac{∆R_2}{R_2}\times 100+\frac{∆(R_1+R_2)}{R_1+R_2}\times 100$

Now,$∆R_1=\frac{10}{100}\times 4$k$\mathrm{\Omega }$=0.4k$\mathrm{\Omega },$

$\mathrm{\Delta }{R}_2=\frac{10}{100}\times 6$k$\mathrm{\Omega }=0.6\mathrm{k}\mathrm{\Omega }$

Again,$\frac{∆R_s}{R_s}\times 100=\frac{0.4}{4}\times 100+\frac{0.6}{6}\times 100$

$+\frac{0.4+0.6}{10}\times 100$

$=10+10+10=30$