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The error in the measurement of the len...

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`%`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `x = (L)/(T^(2)) , (Delta x)/(x)= (Delta L)/(L) + 2 (Delta T)/(T)`
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Knowledge Check

  • The maximum possible error in a measurement

    A
    is equal to the zero error of the measuring instrument
    B
    does not have any limit
    C
    is equal to the least count of the measuring instrument
    D
    is equal to the square of the least count of the measuring instrument

  • 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 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%`

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