NEETPhysicsUnits and MeasurementMCQ+4 / −1
The percentage error in the measurement of g is : (Given that , cm, s)
- A7%
- B2%
- C5%
- D3%
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Correct answer: D
Given $$g = {{4{p^2}L} \over {{T^2}}}$$
Fractional error in value of g
$${{\Delta g} \over g} = {{\Delta L} \over L} + 2{{\Delta T} \over T}$$
$$ \Rightarrow {{\Delta g} \over g} \times 100 = {{\Delta L} \over L} \times 100 + 2{{\Delta T} \over T} \times 100$$
$$ \Rightarrow {{\Delta g} \over g} \times 100 = {{0.1} \over {10}} \times 100 + 2 \times {1 \over {100}} \times 100 = 3\% $$
Hence, percentage error in measurement of g is 3%
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