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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Physics
Chapter
Current Electricity

MHT CET 2026 · 23 April · Evening Shift · Physics · Current Electricity

A galvanometer having a coil resistance of 100\ gives a full scale...

A galvanometer having a coil resistance of 100 Ω100\ \Omega gives a full scale deflection when a current of 11 mA is passed through it. The value of the resistance which can convert this galvanometer into ammeter giving a full scale deflection of 1010 A, is nearly

Options

  1. A3 Ω3\ \Omega
  2. B2 Ω2\ \Omega
  3. C0.1 Ω0.1\ \Omega
  4. D0.01 Ω0.01\ \Omega

Correct answer

D. 0.01 Ω0.01\ \Omega

Step-by-step solution

Given Rg=100 ΩR_g = 100\ \Omega, Ig=1 mA=10−3 AI_g = 1\ \text{mA} = 10^{-3}\ \text{A}, and I=10 AI = 10\ \text{A}.

To convert a galvanometer into an ammeter, a shunt resistance SS is connected in parallel with it.

The value of the shunt resistance is given by S=IgRgI−IgS = \dfrac{I_g R_g}{I - I_g}.

Substituting the given values:

S=10−3×10010−10−3S = \dfrac{10^{-3} \times 100}{10 - 10^{-3}}

S=0.19.999S = \dfrac{0.1}{9.999}

S≈0.01 ΩS \approx 0.01\ \Omega

Answer: 0.01 Ω0.01\ \Omega
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