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

The length `l`, breadth `b` and thickness `t` of a block of wood were measured with the help of a metre scale. The results after calculating the errors are given as
`l=15*12+-0*01cm, b=10*15+-0*01cm`
`t=5*28+-0*01cm.` The percentage error in volume upto proper significant figure is :

A

`0*36%`

B

`0*28%`

C

`0*48%`

D

`0*64%`

Text Solution

Verified by Experts

The correct Answer is:
A
`V=lbt`
`(DeltaV)/(V)xx100=(Deltal)/(l)xx100+(Deltab)/(b)xx100+(Deltat)/(t)xx100`
`=(0*01)/(15*12)xx100+(0*01)/(10*15)xx100+(0*01)/(5*28)xx100`
`0*36%`
So the correct choice is `(a)`.
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