The period of oscillation of a simple pendulum is Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. The accuracy in the determination of g is
2%
3%
1%
5%
Aw we learnt in
Time period of oscillation of simple pendulum -
- wherein
l = length of pendulum
g = acceleration due to gravity.
Taking log on both side
Taking differential
or
Now,
Given L = 20 cm
(0.5 +2.2)% = 2.7% 3%
Correct option is 2.
Option 1)
2%
This is an incorrect option.
Option 2)
3%
This is the correct option.
Option 3)
1%
This is an incorrect option.
Option 4)
5%
This is an incorrect option.
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