If length of pendulum is increased by 2%. The...

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If length of pendulum is increased by 2%. The time period will
• a)
Increase by 1%
• b)
Decrease by1%
• c)
Increase by 2%
• d)
Decrease by 2%

In this question , The formula for time period - T = 2π√L/g = 2π (L/g)^1/2 2,π,g have no dimensions ∆T/T = 1/2 x ∆L/L By representing in percentage error ∆T/T x 100 = 1/2 x ∆L/L x 100 ∆T/T % = 1/2 x 2 % ∆T/T % = 1 % the time period becomes 1 %

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If length of pendulum is increased by 2%. The time period willa)Increase by 1%b)Decrease by1%c)Increase by 2%d)Decrease by 2%Correct answer is option 'A'. Can you explain this answer?
A is ryt

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Cleary take log on both sides in time peroid formula then differentiate to get change as in A

If length of pendulum is increased by 2%. The time period willa)Increase by 1%b)Decrease by1%c)Increase by 2%d)Decrease by 2%Correct answer is option 'A'. Can you explain this answer?
A is correct

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