In a simple pendulum experiment for determination of acceleration due to gravity ( g ) , time taken for 20…

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measures by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of the pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to
  1. 0.2%
  2. 6.8%
  3. 3.5%
  4. 0.7%

Solution

g=4π2lT2
∆gg=∆ll+2∆TT
=0.155+2×130
=0.06848
Percentage error ≈6.8%

Asked in: JEE Main 2019 (08 Apr Shift 2)

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