JEE Main & Advanced JEE Main Paper (Held On 25 April 2013)

  • question_answer
                    Six equal resistances are connected between points P, Q and R a shown in figure. The net resistance will be maximum between:   JEE Main Online Paper ( Held On 25  April 2013 )

    A) P and R                

    B)                        P and Q

    C)                        Q and R               

    D)                        Any two points

    Correct Answer: B

    Solution :

                    Resistance between P and Q \[{{r}_{PQ}}={{r}_{11}}\left( \frac{r}{3}+\frac{r}{2} \right)=\frac{r\times \frac{5}{6}r}{r+\frac{5}{6}r}=\frac{5}{11}r\] Resistance between Q and R \[{{r}_{QR}}=\frac{r}{2}11(r+\frac{r}{3})=\frac{\frac{r}{2}\times \frac{4}{3}r}{\frac{r}{2}+\frac{4}{3}r}=\frac{4}{11}r\] Resistance between P and R \[{{r}_{PR}}=\frac{r}{3}11\left( \frac{r}{2}+r \right)=\frac{\frac{r}{3}\times \frac{3}{2}r}{\frac{r}{3}+\frac{3}{2}r}=\frac{3}{11}r\] Hence, it is clear that \[{{r}_{PQ}}\]is maximum


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