Question

The percentage error in the measurement of mass and speed are $2$% and $3$% respectively. The error in the estimate of kinetic energy obtained by measuring mass and need will be

• A. $12$%
• B. $10$%
• C. $8$%
• D. $2$%

Answer 1

The correct option is C $8$%

Given percentage errors in mass and velocity = $2$% and $3$% respectively

The kinetic energy of the particle is given by

$KE$ = $\frac{m{v}^2}{2}$

The percentage error in kinetic energy will be

$\frac{\Delta m}{m}\times 100+2\frac{\Delta v}{v}\times 100$

= $2+6$

= $8$%