Group of question Nos (i) to (iv) are based on the following paragraph and its subsequent continuation of after some question.
The following question are concerned with experiments of the characterization and use of a moving coil galvanometer.
The series combination of variable resistance R, one 100 Ω Ω resistor and moving coil galvanometer is connected to a mobile phone charger having negligible internal resistance. The zero of the galvanometer lies at the center and the pointer can move 30 division full scale on either side depending on the direction of current. The reading of the galvanometer is 10 divisions and the voltages across the galvanometer and 100 Ω Ω resistor are respectively 12 mV and 16 mV
(i) The figure of merit of the galvanometer is microampere per division is:
Text Solution
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[(i) a, (ii) b, (iii) b, (iv) d]
Sol. (i) to (iv)
Case-1

10 i 0 G = 12 × 10 –3
10 i 0 (100) = 16 × 10 –3 ⇒ 10
3 i 0 = 16 × 10 –3
⇒ i 0 = 16 × 10 –6 A
⇒ G = 75 Ω Ω
Case-2

30 i 0 (R + G) = 12
R + G =
= 2.5 × 10 4 Ω Ω = 25k Ω Ω
R = 25k Ω Ω – 75 Ω Ω
Case-3
30 i 0 (R + G) = 12
ni 0 (R + G) = 
n = 12

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