Story
NEET AITS
Story
Mock Tests
Story
Live Class
Story
JEE AITS

Questions  

A certain body weighs 22.42 g and has a measured volume of 4.7cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc. Then maximum error in the density will be

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
22%
b
2%
c
0.2%
d
0.02%

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

Density ρ= mass m volume VTake logarithm to take base e on the both sides of eqn (i), we get lnρ = lnm – lnV .....(ii)Differentiate eqn (ii), on both sides, we get Δρρ=Δmm−ΔVVErrors are always added. Error in the density ρ will be =Δmm+ΔVV×100%=0.0122.42+0.14.7×100%=2%
ctaimg

ctaimg

Similar Questions

A physical quantity A is related to four observable a, b, c and d as A=a2b3cd . The percentage errors of measurement in a, b, c and d are 1 %, 3 %, 2 % and 2 % respectively. What is the percentage error in the quantity A ?

Want to Improve your productivity
talk to our academic experts now !!

counselling
india
+91

whats app icon