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Arrange the following in the order of their resistance: (A) Ammeter of range 0 to 1 A (B) Milli-ammeter of range 0 to 100 mA (C) Micro-ammeter of range 0 to 500 \mu A (D) Voltmeter of range 0 to 100 V

A

A > B > C > D

B

D > C > B > A

C

D > A > B > C

D

C > B > A > D

Step-by-Step Solution

  1. Voltmeter vs Ammeter: A voltmeter requires a very high resistance (galvanometer resistance + large series resistance) to ensure it draws negligible current (NCERT Physics Class 12, Eq. 4.28). An ammeter requires a very low resistance (galvanometer resistance in parallel with a small shunt) to ensure negligible voltage drop (NCERT Physics Class 12, Section 4.10). Thus, the voltmeter (D) has the highest resistance.
  2. Ammeters Ranges: For an ammeter, the equivalent resistance is approximately equal to the shunt resistance rsr_s. The shunt resistance is inversely proportional to the current range II (since rsIgRg/Ir_s \approx I_g R_g / I).
  • Range A: 11 A
  • Range B: 100100 mA =0.1= 0.1 A
  • Range C: 500500 \mu A =0.0005= 0.0005 A Since IA>IB>ICI_A > I_B > I_C, the resistance order is RA<RB<RCR_A < R_B < R_C.
  1. Conclusion: Combining these, the order of resistance is Voltmeter > Micro-ammeter > Milli-ammeter > Ammeter (D>C>B>AD > C > B > A).
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