Question

In determination of acceleration due to gravity (g) using the formula T=2π√Lg the errors in measurement of and rare 1% and 2% respectively The Maximum percentage error in the value of g

• A. 5%
• B. 4%
• C. 3%
• D. 1.5%

Answer 1

The correct option is C 5%
T=2π√Lg

squaring both sides,

T2=4π2Lg

g=4π2LT3

As per rule,

Δgg=±[ΔLL+2(ΔTT)]

For percentage error,

Δgg×100%=±[ΔLL×100%+2(ΔTT×100%)]

Δgg×100%=±[1%+2×2%]

Δgg×100%=±[1%+4%]

Δgg×100%=±5%

Hence,

option (A) is correct answer.