What is the fractional error in g calculated from T = 2avelg ? Given that fractional errors in T and I are fx
and I y respectively.
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your question is -> what is the fractional error in g calculated from T = 2π√{l/g}
what is the fractional error in g calculated from T = 2π√{l/g}given, that fractional errors in T and l are x and y respectively.
solution : T = 2π√{l/g}
or, T² = 4π²l/g
or, g = 4π²l/T²
so, formula of fractional error in g is defined as , ∆g/g = ∆l/l + 2∆T/T
or, fractional error in g = fractional error in l + 2 × fractional error in T
given, fractional error in T = x
fractional error in l = y
so, fractional error in g = y + 2x
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Answer:
The correct answer is 2x + y
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