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

# The length of a cylinder is measured with a metre rod having least count 0.1 cm. Its diameter is measured with vernier callipers having least count 0.01 cm. Given that length is 5.0 cm and radius is 2.00 cm. The percentage error in the calculate value of the volume will be

A
11%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2.5%
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4%
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 2.5% Given → least count of metre rod =0.1 cm Diameter measured with vernier caliper of least count =0.01 cm Length of Rod=5 cm Radius =2 cm⇒ Diameter =4 cm we know volume of cylinder →v=πr2⋅l=πd2⋅l4−(1) Take logarithm both sides in eq 1logv=2⋅log(d)+log(l)+log(π/4) Differentiating Both Sides dvv=2⋅d(d)d+dll dvv=2⋅(0,01)4+0.15=0.025% error =2.5%

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Error and Uncertainty
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program