In determination of acceleration due to gravity (g) using the formula T= 2 ×√(L/g) the error's in measurement of L - Physics - Units And Measurements

Question

In determination of acceleration due to gravity (g) using the
formula T= 2π×√(L/g) the error's in measurement of L
and T are 1% and 2% respectively The maximum percentage error in
the value of g is? (Answer: 5%)

Vaibhav T. · Accepted Answer

Dear Student,

T=2πLgsquaring both sides,T2=4π2Lgg=4π2LT2As per rule,∆gg=±∆LL+2∆TTFor percentage error,∆gg×100%=±∆LL×100%+2∆TT×100%∆gg×100%=±1%+2×2%∆gg×100%=±1%+4%∆gg×100%=±5%

In determination of acceleration due to gravity (g) using the formula T= 2π×√(L/g) the error's in measurement of L and T are 1% and 2% respectively. The maximum percentage error in the value of g is? (Answer: 5%)