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%`

Explanation

`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 %`