A thin uniform wire AB of length 1 m, and unknown resistance X and a resistance of 12 Ω are connected by thick conducting strips as shown in fig. A battery and galvanometer are also connected as shown in the figure. It is found that no deflection takes place in the galvanometer when the sliding jockey touches the wire at a distance of 60 cm from A. The unknown resistance X is

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

6 Ω

8 Ω

10 Ω

15 Ω

answer is B.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

The balanced Wheatstone bridge is shown in fig Now, RAJRJB=12ΩXThe balance on the wire is obtained when jockey is at a distance of 60 cm from A. The resistance RAJ is 0.6 p where p is resistance per unit length of wire. The resistance of JB part of the wire is(1 -0.6) p = 0.4p∴ 0⋅6ρ0⋅4ρ=12ΩX or X=8Ω

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE