Question

What is the % error in measurement of time period of a pendulum, if maximum errors in measurements of length and ‘g’ are 2% and 4% respectively?(A) 6% (B) 3%(C) 4% (D) 5%

Answer 1

Answer:

6

Explanation:

% are addeed

t=4pi wholesquare L/G

Answer 2

What is the % error in measurement of time period of a pendulum, if maximum errors in measurements of length and ‘g’ are 2% and 4% respectively?(A) 6% (B) 3%(C) 4% (D) 5%

answer : option (B) 3%

explanation : we know, time period of a simple pendulum is given as $T=2\pi\sqrt{\frac{l}{g}}$

so, % error in T = 1/2 × % error in l + 1/2 × % error in g

given,

• % error in length,l = 2%
• % error in accⁿ due to gravity, g = 4%

so, % error in time period, T = 1/2 × 2% + 1/2 × 4% = 1% + 2% = 3%

hence, option (B) is correct choice.