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A voltmeter has a range O - V with a ser...

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

A

`V' = 2 V`

B

`V' gt 2 V`

C

`V' gt gt 2 V`

D

`V' lt 2 V`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) For conversion of galvanometer (of resistance) into voltmeter, a resistance `R` is connected in series.
`:. i_(g) = (V)/(R + G)` and `i_(g) = (V')/(2R + G)`
`implies (V)/(R + G) = (V')/(2R + G)`
`implies (V')/(V) = (2R + G )/(R + G) = (2 (R + G) - G)/((R + G))`
`2 - (G)/((R + G)) implies V' = 2V = (VG)/((R + G)) implies V' lt 2V`
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Knowledge Check

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

    A
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    B
    `V' gt 2V`
    C
    `V' lt 2V`
    D
    `V' gt gt 2V`

  • To increase the range of voltmeter the series resistance should be

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    increased
    B
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    C
    unchanged
    D
    none of these

  • A voltmeter has resistance R_0 and range V. What resistance should be connected in series with it to increase its range to n V ?

    A
    `nR_0`
    B
    `(n+1)R_0`
    C
    `(n-1)R_0`
    D
    `R_0//n`

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