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For a cabical block, error in measuremen...

For a cabical block, error in measurement of sides is `+- 1%` and error in ,easurement of mass is `+- 2%` then maximum posible error in dencity is

A

`1%`

B

`5%`

C

`3%`

D

`7%`

Text Solution

Verified by Experts

`rho = (m)/(V) = (m)/(l^(3))`
Given `(Deltam)/(m) = +- 2% = +- 2 xx 10^(-2) (Deltal)/(l) = +- 1% = +- 1c xx 10^(-2)`
`(Deltarho)/(rho) = (Deltam)/(m) + 3 (Deltal)/(l)`
`=2 xx 10^(-2) + 3 xx 10^(-2) = 5 xx 10^9-2) = 5%`
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