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The error in the measurement fo length o...

The error in the measurement fo length of a simple pendulum is `0.1%` and error in the time period is `2%`. The possible maximum error in the quantity having dimensional formula `LT^(2)` is

A

`1.1%`

B

`2.1%`

C

`4.1%`

D

`6.1%`

Text Solution

Verified by Experts

The correct Answer is:
C
`(DeltaL)/(L) + 2(DeltaT)/T `
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Knowledge Check

  • The error in the measurement of the length of a simple pendulum is 0.1% and the error in the time period is 2% . What is the possible percentage of error in the physical quantity having the dimensional formula LT^(-2) ?

    A
    `4.1%`
    B
    `8.2%`
    C
    `2.2%`
    D
    `1.1%`

  • The error in the measurement of length (L) of time simple pendulum is 0.1% and the error in the period (T) is 3%. The maximum possible error in the measurement of (L)/(T^(2)) is

    A
    `2.9%`
    B
    `3.1%`
    C
    `5.9%`
    D
    `6.1%`

  • The error in the measurement of the length of the sample pendulum is 0.2% and the error in time period 4% . The maximum possible error in measurement of (L)/(T^(2)) is

    A
    `4.2%`
    B
    `3.8%`
    C
    `7.8%`
    D
    `8.2`%`
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