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The length of a rectangular plate is mea...

The length of a rectangular plate is measured by a meter scale and is found to be ` 10.0 cm`. Its width is measured by vernier callipers as `1.00 cm`. The least count of the meter scale and vernier calipers are `0.1 cm and 0.01 cm` respectively. Maximum permissibe error in area measurement is.

A

`+- 0.2 cm^(2)`

B

`+- 0.1 cm^(2)`

C

`+- 0.3 cm^(2)`

D

zero

Text Solution

Verified by Experts

`A = lb = 10.0 xx 1.00 = 10.00`
`(DeltaA)/(A) = (Deltal)/(l) +(Deltab)/(b)`
`(DeltaA)/(10.00) = (0.1)/(10.0) + (0.01)/(1.00) rArr DeltaA = 10.00 ((1)/(100) + (1)/(100)) = 10.00((2)/(100)) = +- 0.2 cm^(2)` .
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Knowledge Check

  • The length of a strip measured with a meter rod is 10.0 cm . Its width measured with a vernier callipers is 1.00 cm . The least count of the meter rod is 0.1 cm and that of vernier callipers is 0.01 cm . What will be the error in its area?

    A
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    B
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    C
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    D
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  • The length of a strip measured with a meter rod is 10.0cm. Its width measured with a venier calipers is 1.00cm. The least count of the meter rod is 0.1 cm and that of vernier calipers 0.01cm. What will be error in its area?

    A
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    B
    `pm7%`
    C
    `pm4%`
    D
    `pm2%`

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    B
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