A 10km long underground cable extends from east to west and consists of two parallel wires, each of which has resistance $= 13 Ω / km$ . A short develops at distance x from the west end when a conducting path of resistance R connects the wires. The resistance of the wires and the short is then $100 Ω$ when measurement is made from east end, and $200 Ω$ when it is made from the west end. What is the value of R (ohm)?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$25 Ω$

$20 Ω$

$30 Ω$

$35 Ω$

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\begin{array}{l} 13 (2 x) + R = 100 \\ \Rightarrow R = 20 Ω \end{array}$ $13 [2 (10 - x)] + R = 200$

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test