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JEE Main 20198 AprilEvening Shift
Exam
JEE Main
Year
2019
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Mathematics in Physics

JEE Main 2019 · 8 April · Evening Shift · Physics · Mathematics in Physics

In a simple pendulum experiment for determination of acceleration...

In a simple pendulum experiment for determination of acceleration due to gravity (g)( g ), time taken for 2020 oscillations is measures by using a watch of 11 second least count. The mean value of time taken comes out to be 30s30s. The length of the pendulum is measured by using a meter scale of least count 1mm1mm and the value obtained is 55.0cm55.0cm. The percentage error in the determination of gg is close to

Options

  1. A0.2\text{0.2} %
  2. B6.8\text{6.8} %
  3. C3.5\text{3.5} %
  4. D0.7\text{0.7} %

Correct answer

B. 6.8\text{6.8} %

Step-by-step solution

g=4π2lT2g = \dfrac{4{\pi}^{2}l}{{T}^{2}}
∆gg=∆ll+2∆TT\dfrac{∆ g}{g} = \dfrac{∆ l}{l} + \dfrac{2 ∆ T}{T}
=0.155+2×(130)= \dfrac{0.1}{55} + 2 \times \left(\dfrac{1}{30}\right)
=0.06848= 0.06848
Percentage error ≈6.8\approx 6.8%
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