The galvanometer deflection, when key K 1 is closed but K 2 is open, equals θ 0 (see figure). On…

The galvanometer deflection, when key K1 is closed but K2 is open, equals θ0 (see figure). On closing K2 also and adjusting R2 to 5Ω, the deflection in galvanometer becomes θ05. The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:

  1. 12Ω
  2. 22Ω
  3. 5Ω
  4. 25Ω

Solution

θ​0iGθ​0C=iG

I-case Cθ0=V220+R ......(i)

II-case Cθ05=V220+5R5+R×55+R ....(ii)

From (i) and (ii) R=22Ω

Asked in: JEE Main 2019 (12 Jan Shift 1)

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