Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2011Paper 1
Exam
JEE Advanced
Year
2011
Paper
Paper 1
Subject
Physics
Chapter
Current Electricity

JEE Advanced 2011 · Paper 1 · Physics · Current Electricity

A meter bridge is set up as shown in figure, to determine an...

A meter bridge is set up as shown in figure, to determine an unknown resistance XX using a standard 10Ω10 \Omega resistor. The galvanometer shows null point when tapping key is at 52 cm52 \mathrm{~cm} mark. The end-corrections are 1 cm1 \mathrm{~cm} and 2 cm2 \mathrm{~cm} respectively for the ends AA and BB. The determined value of XX is A meter bridge is set up as shown in figure, to determine an unknown resistance X using a standard 10 resistor. The

Options

  1. A10.2Ω10.2 \Omega
  2. B10.6Ω10.6 \Omega
  3. C10.8Ω10.8 \Omega
  4. D11.1Ω11.1 \Omega

Correct answer

B. 10.6Ω10.6 \Omega

Step-by-step solution

Using the concept of balanced Wheatstone bridge, we have PQ=RS∴X(52+1)=10(48+2)∴X=10×5350=10.6Ω\begin{array}{rlrl}& \frac{P}{Q}& =\frac{R}{S}\\ \therefore & & \frac{X}{(52+1)}& =\frac{10}{(48+2)}\\ \therefore & & X & =\frac{10 \times 53}{50}=10.6 \Omega \end{array}\therefore Correct option is (b). Analysis of Question Question is moderately tough, because normally end corrections are not taught in the coaching/schools in this type of problem.
Practice Current Electricity on Quantrex Academy →

More from Current Electricity

A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a… JEE Advanced 2026As shown in the figure, the resistance of a galvanometer G can be found by the… JEE Advanced 2026The stored charge in the capacitor in steady state of the following circuit is ________ μ… JEE Main 2026A moving coil of galvanometer when shunted with 2\,Ω resistance gives a full scale… JEE Main 2026Two cells of emfs 1 V and 2 V and internal resistance 2\,Ω and 1\,Ω , respectively… JEE Main 2026Refer to the circuit diagram given below. The heat generated across the 6\,Ω resistance… JEE Main 2026In an experiment to determine the resistance of a given wire using Ohm's law, the… JEE Main 2026Under steady state condition the potential difference across the capacitor in the circuit… JEE Main 2026 Full Current Electricity list All JEE Advanced PYQs