Q.

Two identical moving coil galvanometers have 10Ω resistance and full scale deflection at 2μA current. One of them is converted into a voltmeter of 100mV full scale reading and the order into an Ammeter of 1mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm’s law experiment with R=1000Ω  resistor by using an ideal cell. Which of the following statement(s) is/are correct?

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a

The resistance of the Ammeter will be 0.02Ω (round off to 2nd decimal place)

b

The resistance of the Voltmeter will  be 100kΩ

c

The measured value of R will be 978Ω<R<982Ω

d

If the ideal cell is replaced by a cell having internal resistance of 5Ω then the measured value of R will be more than 1000Ω

answer is B, D.

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Detailed Solution

Option 4:    IgG=IRA    

2×10610=1×103RA
  Resistance of ammeter RA=0.02Ω  (4)  is correct
Option 3: V=IgRV  RV=VIg=1012×106=5×104Ω   =50kΩ (3) is wrong
Option 2:

Question Image


 
R1=R.RVR+RV,R2=RA  Reading of ammeter = I
Reading of voltmeter V = IR
Measured value of resistance is Rm=VI=R1 
=R.RVR+RV=103×5×104103+5×104=5×10451=980.4Ω  2 is correct
Option 1: measured value of R depends on R and RV only, but independent of RA and r values.  Measured value of resistance will again be 980.4Ω only
 

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