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The length l , breadth b, and thickness ...

The length l , breadth b, and thickness `t` of a block of wood were measured with the help os a measuring scale. The results with permissible errors ( in cm) are
`l = 15.12 +-0.01, b = 10.15+-0.01` , and `t = 5.28 +- 0.01`.
The percentage error in volume up to proper significant figures is

A

0.0028

B

0.0036

C

0.0048

D

0.0064

Text Solution

Verified by Experts

The correct Answer is:
B
`because V'=lbt:.(DeltaV)/(V)=(Deltal)/(l)+(Deltab)/(b)+(Deltat)/(t)`
`(DeltaV)/(V)xx100=((0.01)/(15.12)+(0.01)/(10.15)+(0.01)/(5.28))xx100`
`=(0.066+0.098+0.189)%`
`=(0.07+0.10+0.19)%=0.36%`
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-1)
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