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A voltmeter has a range 0V with a series resistance R. With a series resistance 2R, the range is 0V'. The correct relation between V and V' is

a
V'=2V
b
V'>2V
c
V'>>2V
d
V'<2V

detailed solution

Correct option is D

For conversion of galvanometer (of resistances) into voltmeter, a resistance is connected in series.∴     ig =VR+G   and   ig =V'2R+G⇒   VR+G = V'2R+G⇒   V'V=2R+GR+G = 2R+G−GR+G=2−GR+G  ⇒  V'=2V−VGR+G  ⇒ V'<2V

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