Question

Find out maximum percentage error when the follow - ing observations were taken in the determination of the value of acceleration due to gravity. Length of the thread = 100.2 cm, radius of the bob= 2.34 cm and time of one oscillation = 2.2 s. Calculate the value of maximum percentage error, up to the required significant figures. Which quantity should be measured more accurately?[9.917%, Time Period]

Answer 1

Answer:

8%

Explanation:

Time period, T=2π

g

or g=

T

2

4π

2

The maximum percentage error

g

Δg

= lΔI+2

TΔT

where

l

Δl

=2% and

T

ΔT

=3%

g

Δg

=2%+2×3%

=2%+6%=8%