InterviewSolution
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InterviewSolution
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What is the maximum percentage error? (a) In measurement of kinetic energy if the percentage error in mass and speed are `1%` and `2%`, respectively. (b) In measurement of pressure if maximum errors in the measurement of force and length of square plate are `3%` and `2%`, respectively. In measurement of time period of simple pendulum if the percentage error in measurement of length and acceleraton due to gravity are respectively `2%` and `3%` |
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Answer» `K = (1)/(2) mv^(2)` `(Delta K)/(K) = (Delta m)/(m) + 2 (Delta v)/(v)` `(Delta K)/(K) xx 100 = (Delta m)/(m) xx 100 + 2 (Delta v)/(v) xx 100` `= 1 + 2 xx 2 = 5%` (b) `P = (F)/(l^(2))` `(Delta P)/(P) xx 100 = (Delta F)/(F) xx 100 + 2 (Delta l)/(l)` `= 3 + 2 xx 2 = 7%` (c ) `T = 2 pi sqrt(l//g)` `(Delta T)/(T) xx 100 = (1)/(2) (Delta l)/(l) xx 100 + (1)/(2) (Delta g)/(g) xx 100` `= (1)/(2) xx 2 + (1)/(2) xx 3 = 2.5 %` |
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