Question

The percentage errors in the measurement of mass and speed of a body are 2% and 3% respectively. What is the percentage error in the kinetic energy obtained by measuring its mass and speed?
A. `12%`
B. `10%`
C. `8%`
D. `2%`

Answer 1

Correct Answer - c
`K.E.=(1)/(2)mv^(2)`
`therefore (DeltaK)/(K)xx100=(Deltam)/(m)xx100+2(Deltav)/(v)xx100`
`=2%+2(3%)=8%`
`therefore` The percentage error in the measurement of K.E. = 8%