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Question: A voltmeter which can measure 2 V is constructed by using a galvanometer of resistance 12 \(\Omega\...

A voltmeter which can measure 2 V is constructed by using a galvanometer of resistance 12 Ω\Omega and that produces maximum deflection for the current of 2 mA, then the resistance R is

A

888Ω\Omega

B

988 Ω\Omega

C

898 Ω\Omega

D

999Ω\Omega

Answer

988 Ω\Omega

Explanation

Solution

R=VIgG\mathrm { R } = \frac { \mathrm { V } } { \mathrm { I } _ { \mathrm { g } } } - \mathrm { G }

Putting V=2 V,Ig=2 mA=2×103 A,G=12Ω\mathrm { V } = 2 \mathrm {~V} , \mathrm { I } _ { \mathrm { g } } = 2 \mathrm {~mA} = 2 \times 10 ^ { - 3 } \mathrm {~A} , \mathrm { G } = 12 \Omega

R=22×10312=100012=988Ω\therefore \mathrm { R } = \frac { 2 } { 2 \times 10 ^ { - 3 } } - 12 = 1000 - 12 = 988 \Omega