CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A wire has a mass (0.3 ± 0.003)g, radius (0.5 ± 0.005)mm and length (6 ± 0.06)cm. The maximum percentage error in the measurement of its density is -

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 4
The volume of the wire is given by, V=πr2L

Thus density of the wire, ρ=mπr2L

Taking log and then differentiate:
Δρρ×100=Δmm×100+2Δrr×100+ΔLL×100

Δρρ×100=0.0030.3×100+20.0050.5×100+0.066×100=4%.

Percentage error in density is 4%.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Significant Figures
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon