The percentage errors in the measurement of mass and speed are `2% and 3%` , respectively . How much will be the maximum error in the estimation of `KE` obtained by measuring mass and speed?

Options

A. 0.08
B. 0.07
C. 0.09
D. 0.05

Answer

(a)

Explanation

`Here, (Deltam)/(m) = (2)/(100), (Delta upsilon)/(upsilon) = (3)/(100)`
`As E = (1)/(2) m upsilon^2`
`:. (DeltaE)/(E ) = (Deltam)/(m) + (2 Delta upsilon)/(upsilon) = (2)/(100) + 2xx(3)/(100) = (8)/(100)`
% error in the estimate K.E.
`(DeltaE)/(E )xx100 = (8)/(100)xx100 = 8%`