if the errors involved in the measurement of a side and mass of a cube are 3% and 4% respectively then what is the maximum permissible error in
the density of the material?!
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Answer:
-5%,5% decreases
Explanation:
error in side of a cube=3%
error in Mass of a cube=4%
ans.
density =Mass/volume
apply log on both sides
log d=log m-log v
multiply with 100 on both sides and apply derivative
∆d/d×100=∆m\m×100-∆v/v×100
answer=4%-3×log s. (s is side of a cube)
answer=4%-9%=-5%
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